Content-Type: multipart/mixed; boundary="-------------0611261625924" This is a multi-part message in MIME format. ---------------0611261625924 Content-Type: text/plain; name="06-347.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="06-347.keywords" Dirac operator, magnetic field, Coulomb potential, conjugate operator, spectral analysis, limiting absorption principle ---------------0611261625924 Content-Type: application/postscript; name="Diracmagn.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="Diracmagn.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.94a Copyright 2003 Radical Eye Software %%Title: C:/Documents and Settings/tiedra/Mes documents/science/articles/articles en cours/dirac07/Diracmagn.dvi %%CreationDate: Sun Nov 26 23:18:28 2006 %%Pages: 13 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: Times-Bold Times-Roman CMR8 CMR6 Times-Italic CMR9 %%+ CMMI9 CMMI10 CMR10 CMR7 MSBM10 CMEX10 CMSS10 CMSY10 CMMI7 rsfs10 %%+ CMSY7 EUSM10 CMSS8 rsfs7 CMR5 MSBM7 CMMI8 CMSY6 CMSY8 EUSM7 CMMI5 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: "C:\Program Files\texmf\MiKTeX\bin\dvips.exe" %+ "C:/Documents and Settings/tiedra/Mes documents/science/articles/articles en cours/dirac07/Diracmagn.dvi" %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2006.11.26:2318 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: 8r.enc 0 0 % File 8r.enc TeX Base 1 Encoding Revision 2.0pre 2002-10-30 % % @@psencodingfile@{ % author = "S. 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All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 109 /m put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM7 %!PS-AdobeFont-1.1: MSBM7 2.1 %%CreationDate: 1992 Oct 17 08:30:50 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 82 /R put readonly def /FontBBox{0 -504 2615 1004}readonly def /UniqueID 5032014 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 104 /h put readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F D1F017CE45884D76EF2CB9BC5821FD25365DDEA1F9B0FF4CFF25B8E64D0747A3 7CAD14E0DBA3E3CA95F10F24B7D5D75451845F1FB7221D7794A860756CFBB3E7 704A52A22448C34812C3DBEDD41892577AABA7D555E9298C1A0F7DA638078167 F56E29672683C51CF1C003764A8E7AD9D8ADE77B4983F56FE2D12723AAD8BF36 682CFBB71B1D12210144D39DD841A971F71DB82AC6CD815987CDCF29ABC3CC96 5EEBD5D661F452C6E0C74F9ED8D0C5B3755551A172E0FE31EA02344176E32666 14B6853A1C303A5E818C2E455A6CF8FC9A66DC6E279101D61C523BD9DB8EB82F EAF4D7FDF6372383C0794C4568D079648689A199D4B65BA646CF95B7647E4BEC 83856C27A8EF177B3A686EDA6354FE9573E123C12EC4BA56A7E8BFB8F9B75147 9DD79A743968F36F7D0D479FA610F0816E6267E5CE327686A5485AB72201525C FB3B7CA10E1BF26E44C24E1696CB089CB0055BD692C89B237CF269F77A31DC81 0F4B75C8400ABCFDCEC6443CD0E81871CD71AA3064ABDE882C4C52322C27FA8B 41C689F827FB0F8AAF8022CF3C1F41C0B45601190C1328831857CBF9B1E7D1AA 246117E56D6B7938488055F4E63E2A1C8D57C17D213729C68349FEC2C3466F41 171E00413D39DF1F67BC15912F30775AFDF7FB3312587E20A68CF77AD3906040 842D63C45E19278622DD228C18ABDD024DD9613CDC0B109095DB0ADC3A3C0CB5 AB597D490189EA81239E39202CBC7A829EB9B313A8F962F7879D374ADF529BD0 5533EF977142F647AD2F5975BA7E340419116099B19ACCCC37C551215F95BB1E F7F5CE777B793F81BBD695D7862EC0B69F926F9A86C5917EA882629C25DA56FE F992F1E8194EF0A4BB389A18FAC96E294D0724A431AF70FC1DC09D5C1485B413 6A9EAFF96BD5096A84D88ED750E9A76B0203817C64D1A5AE26833EC72A3FD987 198B788BA8F5B3FAF3F1D7C7E6CE2D0B518936CAA12E25F32C13FCB7F105E815 BD670D0A4ECC9916AF3CB33A6694C1614371C674BAA401C552B6982C61344614 F26390D4F983A7B66A57079C2C6954EE9602B44D7B65F3B0FD98879D74FFE26A 0CA78061BB0465354B76DE1980FD81410FDC6B18E92A4876B7BC36F06A1546AC 0D967C58B3CAD756410D6F34F6CEB9A7550DB7DC639B4FB27508E1E8472DB30C F4DCA3B3FB0DC5BFDBDD061D13D4CCBEB458EAFF9CE68A5A76A6C3FCE4DC1C03 ADFE8FB2ED57419FCA02536BECC4437730B8DD1817F91A9E2D75861049FBB71A 1E32BA6DB96D4C6C56A3C9715E798F7838F698F22E38164E32F82701D95A01FF 75B63EB2446373ECADF88FFD96602F096D31B52C4F19A2F11869DC40D8915B95 6D3588887D1191689605C6FF32E8DBE65FCA9B287F121851BF9D7E6E23FA1A3C 93A1F68811B0115ECDA9E2B21E24B37D73B486F8C5DD30DD12792295867D9BFB 7F1EE7998523EA2C8FB19EFE4ED89F9C476A965C8AEF923762F5D6422D736073 9CA2E2F74A82DE980A1625B603929BD7971E55FAA5DAC4738770DD79372E73BD C601B4801004E5293649D3BAFFAA70427AC19087D279ED81EAFB747CAAF33B3A 3DE8F6900B3BCAAB6F40853D02B7A7AA08E8A65905583E45EF901944E61EFFE0 2DA1D0E8FC1857750C4A86447CA83765C0F0D9BE6161D26113A4663326D41CD0 021249A9A99A693FE560F6B8F9824934261D3C85DB3E81F57032B4A01DFC89D7 7D8420AF1B0E8F9016C3CE2C04F9D6180B7C9BC97A05304100A627485C11A642 10986FDB1C2484EFFB0B9EF691EE4F25A337C0FC494A876FEFFE9C4E374330EA FF5E38711111BA05AD784E5F46C1FFD4BBFD440BBE44870FDC5A63FDBCAB5E9E 1C4DB0C0B5DF6D05A69F117F850D26D70F75AAB0E37B65281C6D2393040B6BDC 31A345698997C31BAB26A3B0E4C1B0EEA50BAA425BDAB9BC92D4077FA87EA5F0 92C4631C43DBF3AD5422764A28BBF3B5D150712C060FBC987F14609655747BBC D1580DDDE45A973C7262FC74603503EC618AF5A715D23E76520EE0114BD5ED85 DE826FC0D2CB92D03757C8135088AC053D3ACDA985D84C1748181C6C137FB43D EF9CBA7448A38CC1B950A22DC19C67EC61391C788761F879F977467405422CDD 6698147DE7D81BEE436C1AA88403B5797CC63EC41F0C51E3E3982721CB72E15C 34A8905364D4A0B2D0448DD553DC4C8DEDBF99A80787A0FFF37BFD904C7CA689 01A0F485D8A5075B23D850704C9C5BF594317839BA2372F14BDE687869124BE7 9787B8C09C5EEF417314082AFF2E8BBF4A5E42BC 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: rsfs7 %!PS-AdobeFont-1.0: rsfs7 001.000 %%CreationDate: Sat Mar 21 18:45:46 1998 %%VMusage: 120000 150000 11 dict begin /FontInfo 14 dict dup begin /version (001.001) readonly def /Copyright (Conversion of metafont curves by Metafog (c) 1995 Richard Kinch) readonly def /Notice (Copyright (c) Taco Hoekwater, 1998. All rights reserved.) readonly def /FullName (rsfs7) readonly def /FamilyName (rsfs7) readonly def /ItalicAngle -12 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Roman) readonly def end readonly def /FontName /rsfs7 def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 66 /B put readonly def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /FontBBox {16 -302 1349 728} readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSS8 %!PS-AdobeFont-1.1: CMSS8 1.0 %%CreationDate: 1991 Aug 20 17:34:12 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSS8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 99 /c put dup 108 /l put dup 111 /o put readonly def /FontBBox{-65 -250 1062 761}readonly def /UniqueID 5000801 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: EUSM10 %!PS-AdobeFont-1.1: EUSM10 2.1 %%CreationDate: 1992 Nov 20 17:36:44 % Euler fonts were designed by Hermann Zapf. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (EUSM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUSM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 68 /D put readonly def /FontBBox{-8 -194 963 738}readonly def /UniqueID 5031988 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 3 /asteriskmath put dup 6 /plusminus put dup 8 /circleplus put dup 33 /arrowright put dup 38 /arrowsoutheast put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 72 /H put dup 104 /angbracketleft put dup 105 /angbracketright put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: rsfs10 %!PS-AdobeFont-1.0: rsfs10 001.000 %%CreationDate: Sat Mar 21 18:47:14 1998 %%VMusage: 120000 150000 11 dict begin /FontInfo 14 dict dup begin /version (001.001) readonly def /Copyright (Conversion from mf curves by Metafog (c) 1995 Richard Kinch) readonly def /Notice (Copyright (c) Taco Hoekwater, 1998. All rights reserved.) readonly def /FullName (rsfs10) readonly def /FamilyName (rsfs10) readonly def /ItalicAngle -12 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Roman) readonly def end readonly def /FontName /rsfs10 def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 66 /B put dup 68 /D put dup 69 /E put dup 70 /F put readonly def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /FontBBox {-2 -300 1240 728} readonly def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BCF7C3C3333173232E3FDBFF43949 1DB866C39088C203DC22FDC758584860EC7BB67FDA28CC6208249060E18FAB32 204779B5C03C0493BBBBC95CF02692CC4DEAA8D2EA90B5C2E64374E92BCB8501 429B8FAE4A76C0C6B76D6FF7CF9A7D5EDFBCA0E959541C59BD05B7DE43D25D53 FC3DDA6EF0C2743978A6D03E19CCED4A11F2EA4BCC3110BE8B8D9E2772361969 C19258EFAFDC276CB1ADE9208A941A36D18F9FB1C33DEF76AA315DD8F41F8A25 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 24 /xi put dup 28 /tau put dup 30 /phi put dup 34 /epsilon put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 72 /H put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 114 /r put dup 115 /s put dup 116 /t put dup 120 /x put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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dup 107 /bardbl put dup 110 /backslash put dup 112 /radical put dup 114 /nabla put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSS10 %!PS-AdobeFont-1.1: CMSS10 1.0 %%CreationDate: 1991 Aug 20 17:33:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSS10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 76 /L put readonly def /FontBBox{-61 -250 999 759}readonly def /UniqueID 5000803 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 2 /bracketleftbig put dup 3 /bracketrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig put dup 10 /angbracketleftbig put dup 11 /angbracketrightbig put dup 12 /vextendsingle put dup 13 /vextenddouble put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 26 /braceleftbigg put dup 27 /bracerightbigg put dup 82 /integraltext put dup 88 /summationdisplay put dup 90 /integraldisplay put dup 98 /hatwide put dup 100 /hatwidest put dup 101 /tildewide put dup 110 /braceleftBig put dup 111 /bracerightBig put dup 112 /radicalbig put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 63 /emptyset put dup 67 /C put dup 78 /N put dup 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CABB9FFC6A66A4000A13D5F68BFF326D 1D432B0D064B56C598F4338C319309181D78E1629A31ECA5DD8536379B03C383 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 3 /Lambda put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 61 /equal put dup 99 /c put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 121 /y put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 3 /Lambda put dup 5 /Pi put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 55 /seven put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 91 /bracketleft put dup 93 /bracketright put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 17 /eta put dup 18 /theta put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 34 /epsilon put dup 35 /theta1 put dup 37 /rho1 put dup 39 /phi1 put dup 44 /arrowhookleft put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 78 /N put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 90 /Z put dup 97 /a put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 109 /m put dup 110 /n put dup 114 /r put dup 115 /s put dup 120 /x put dup 121 /y put dup 122 /z put dup 126 /vector put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 60 /less put dup 90 /Z put readonly def /FontBBox{-29 -250 1075 750}readonly def /UniqueID 5087384 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put dup 51 /three put dup 55 /seven put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 43 /plus put dup 49 /one put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 5 /Pi put dup 49 /one put dup 50 /two put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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Fx(B)28 b Fy(is)c(constant,)e(periodic)g(or)h(di)n(v)o(er)o (ges)e(at)i(in\002nity)-5 b(.)22 b(Let)i(us)f(also)83 1981 y(note)g(that)g(since)g(Coulomb)f(potentials)h(are)g(allo)n(wed)f (in)h(our)g(approach,)e(a)i(more)f(realistic)i(study)f(of)f(Zeeman)h (ef)n(fect)f([9)o(])i(is)83 2081 y(at)d(hand.)249 2180 y(In)h(order)f(to)h(state)h(precisely)e(our)g(results,)h(let)h(us)f (introduce)e(some)i(notations.)f Fp(B)2675 2192 y Fv(h)2716 2180 y Fw(\()p Fu(C)2808 2150 y Fv(4)2846 2180 y Fw(\))i Fy(stands)f(for)f(the)h(set)h(of)f Fw(4)d Fr(\002)h Fw(4)83 2280 y Fy(hermitian)25 b(matrices,)g(and)g Fr(k)e(\001)f(k)k Fy(denotes)f(the)h(norm)f(of)h(the)g(Hilbert)f(space)h Fr(H)34 b Fw(:=)g Fs(L)2649 2250 y Fv(2)2686 2280 y Fw(\()p Fu(R)2778 2250 y Fv(3)2816 2280 y Fw(;)14 b Fu(C)2913 2250 y Fv(4)2950 2280 y Fw(\))27 b Fy(as)f(well)h(as)f(the)g(norm)f(of) 83 2380 y Fp(B)s Fw(\()p Fr(H)q Fw(\))p Fy(,)g(the)f(set)g(of)g (bounded)d(linear)i(operators)f(on)i Fr(H)q Fy(.)f Fx(P)1810 2392 y Fv(3)1872 2380 y Fy(is)i(considered)d(as)i(an)g(operator)e(in)h Fr(H)j Fy(or)d(in)h Fs(L)3236 2350 y Fv(2)3273 2380 y Fw(\()p Fu(R)p Fw(\))h Fy(depending)83 2479 y(on)h(the)f(conte)o(xt.)g Fu(N)34 b Fw(:=)f Fr(f)p Fw(0)p Fx(;)14 b Fw(1)p Fx(;)g Fw(2)p Fx(;)g(:)g(:)g(:)m Fr(g)26 b Fy(is)h(the)f(set)h(of)f(natural)f (numbers.)f Fx(#)i Fy(is)h(an)f(arbitrary)f Fx(C)2922 2449 y Fo(1)2992 2412 y Ft(\000)3030 2479 y Fw([0)p Fx(;)14 b Fr(1)p Fw(\))3247 2412 y Ft(\001)3285 2479 y Fy(-function)24 b(such)83 2579 y(that)j Fx(#)35 b Fw(=)f(0)27 b Fy(near)f Fw(0)g Fy(and)g Fx(#)35 b Fw(=)f(1)27 b Fy(near)f(in\002nity)-5 b(.)25 b Fx(Q)1642 2591 y Fq(j)1704 2579 y Fy(is)j(the)e (multiplication)f(operator)g(by)h(the)h(coordinate)d Fx(x)3375 2591 y Fq(j)3438 2579 y Fy(in)i Fr(H)q Fy(,)h(and)83 2679 y Fx(Q)40 b Fw(:=)g(\()p Fx(Q)415 2691 y Fv(1)452 2679 y Fx(;)14 b(Q)555 2691 y Fv(2)592 2679 y Fx(;)g(Q)695 2691 y Fv(3)731 2679 y Fw(\))p Fy(.)30 b(The)g(notation)e Fn(a.e)o(.)g Fy(stands)i(for)f(\223almost)g(e)n(v)o(erywhere\224)e(and) i(refers)g(to)g(the)h(Lebesgue)e(measure,)83 2778 y(and)c(the)g(e)o (xpression)f Fr(h)t(\001)5 b(i)25 b Fy(corresponds)d(to)1370 2707 y Ft(p)p 1453 2707 278 4 v 71 x Fw(1)c(+)g(\()5 b Fr(\001)g Fw(\))1693 2754 y Fv(2)1730 2778 y Fy(.)24 b(W)-7 b(e)26 b(write)e Fm(D)p Fw(\()p Fx(S)5 b Fw(\))25 b Fy(for)f(the)g(domain)f(of)h(a)g(self)o(adjoint)g(operator)e(\(or)83 2878 y(a)30 b(form\))e Fx(S)5 b Fy(.)29 b(Finally)-5 b(,)28 b(the)i(limiting)f(absorption)e(principle)h(for)h Fx(H)36 b Fy(is)30 b(going)e(to)i(be)f(e)o(xpressed)f(in)h(terms)h(of)f (the)g(Banach)83 2977 y(space)24 b Fr(K)31 b Fw(:=)504 2910 y Ft(\000)542 2977 y Fm(D)p Fw(\()p Fr(h)p Fx(Q)741 2989 y Fv(3)778 2977 y Fr(i)p Fw(\))p Fx(;)14 b Fr(H)950 2910 y Ft(\001)989 3011 y Fv(1)p Fq(=)p Fv(2)p Fq(;)p Fv(1)1170 2977 y Fy(de\002ned)23 b(by)h(real)f(interpolation)f([1)o(,)j (Chap.)e(2].)g(F)o(or)h(con)m(v)o(enience,)d(we)j(recall)g(that)g(the) 83 3100 y(weighted)19 b(space)h Fr(H)683 3112 y Fq(s)742 3100 y Fw(:=)j Fm(D)p Fw(\()p Fr(h)p Fx(Q)1052 3112 y Fv(3)1089 3100 y Fr(i)1121 3059 y Fq(s)1157 3100 y Fw(\))e Fy(is)g(contained)e(in)h Fr(K)i Fy(for)e(each)f Fx(s)k(>)g Fw(1)p Fx(=)p Fw(2)p Fy(.)249 3200 y(The)28 b(perturbation)e Fx(V)47 b Fy(splits)29 b(into)f(tw)o(o)h(parts:)f(a)h(re)o(gular)d (matrix)i(v)n(alued)f(function)g(and)g(a)i(singular)e(matrix)h(v)n (alued)83 3300 y(function)18 b(with)j(compact)e(support.)f(The)i(follo) n(wing)f(de\002nitions)g(concern)g(the)h(former)f(part.)83 3466 y Fl(De\002nition)h(1.1.)40 b Fn(Let)21 b Fx(V)40 b Fn(be)20 b(a)g(multiplication)f(oper)o(ator)g(associated)g(with)i(an) f(element)g(of)g Fs(L)2833 3435 y Fo(1)2904 3398 y Ft(\000)2942 3466 y Fu(R)3002 3435 y Fv(3)3039 3466 y Fw(;)14 b Fp(B)3151 3478 y Fv(h)3192 3466 y Fw(\()p Fu(C)3284 3435 y Fv(4)3322 3466 y Fw(\))3354 3398 y Ft(\001)3392 3466 y Fn(.)152 3632 y(\(a\))41 b Fx(V)e Fn(is)26 b Fy(small)21 b(at)f(in\002nity)25 b Fn(if)41 b Fw(lim)1209 3644 y Fq(r)r Fo(!1)1392 3632 y Fr(k)o Fx(#)p Fw(\()p Fr(j)p Fx(Q)p Fr(j)p Fx(=r)r Fw(\))p Fx(V)20 b Fr(k)i Fw(=)h(0)p Fn(,)152 3798 y(\(b\))41 b Fx(V)e Fn(is)26 b Fy(short-range)c Fn(if)950 3731 y Ft(R)1005 3751 y Fo(1)989 3827 y Fv(1)1090 3798 y Fw(d)p Fx(r)16 b Fr(k)p Fx(#)p Fw(\()p Fr(j)p Fx(Q)1401 3810 y Fv(3)1438 3798 y Fr(j)p Fx(=r)r Fw(\))p Fx(V)k Fr(k)i Fx(<)h Fr(1)p Fn(,)157 3964 y(\(c\))41 b(Assume)26 b(that)f Fx(V)46 b Fn(is)27 b(continuously)d(dif)o(fer)m(entiable)g(with)j(r)m (espect)f(to)g Fx(x)2393 3976 y Fv(3)2431 3964 y Fn(,)g(and)f(that)h (the)g(map)f Fx(x)34 b Fr(7!)g(h)p Fx(x)3359 3976 y Fv(3)3397 3964 y Fr(i)14 b Fw(\()p Fx(@)3519 3976 y Fv(3)3557 3964 y Fx(V)19 b Fw(\)\()p Fx(x)p Fw(\))291 4063 y Fn(belongs)g(to)h Fs(L)692 4033 y Fo(1)763 3996 y Ft(\000)801 4063 y Fu(R)861 4033 y Fv(3)898 4063 y Fw(;)14 b Fp(B)1010 4075 y Fv(h)1051 4063 y Fw(\()p Fu(C)1143 4033 y Fv(4)1181 4063 y Fw(\))1213 3996 y Ft(\001)1251 4063 y Fn(,)20 b(then)g Fx(V)40 b Fn(is)25 b Fy(long-range)d 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y(\(d\))41 b(The)23 b(limits)h Fw(lim)762 1854 y Fq(")p Fo(&)p Fv(0)911 1774 y Ft(\012)950 1842 y Fx( )s(;)14 b Fw(\()p Fx(H)25 b Fr(\000)18 b Fx(\025)h Fr(\007)f Fx(i")p Fw(\))1503 1812 y Fo(\000)p Fv(1)1592 1842 y Fx( )1649 1774 y Ft(\013)1712 1842 y Fn(e)n(xist)24 b(for)f(eac)o(h)g Fx( )31 b Fr(2)e(K)q Fn(,)23 b(uniformly)g(in)g Fx(\025)h Fn(on)f(eac)o(h)f(compact)g(subset)291 1941 y(of)e Fu(R)e Fr(n)g(f)p Fx(\033)606 1911 y Fv(0)603 1962 y(sym)742 1941 y Fr([)g Fx(\033)862 1953 y Fv(pp)940 1941 y Fw(\()p Fx(H)7 b Fw(\))p Fr(g)p Fn(.)249 2107 y Fy(As)25 b(usual,)e(the)h(limiting)g(absorption)e(principle)g (obtained)h(in)h(\(d\))f(leads)h(to)g Fx(H)7 b Fy(-smooth)22 b(operators,)h(which)g(imply)g(for)83 2207 y(suitable)28 b(short-range)e(perturbations)g(the)j(e)o(xistence)f(of)g(local)g(w)o (a)n(v)o(e)h(operators.)d(Since)j(these)f(constructions)f(are)h(rather) 83 2307 y(standard,)19 b(we)h(shall)h(not)f(de)n(v)o(elop)e(them)i (here.)249 2406 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Fx(V)41 b Fy(is)22 b(gi)n(v)o(en)f(in)g(Proposition)f(4.3.)h(Last)h (part)f(of)g(Section)h(4)f(is)i(de)n(v)n(oted)d(to)h(the)h(proof)e(of) 83 3004 y(our)f(main)h(result)g(in)h(its)g(full)f(generality)-5 b(.)249 3104 y(The)20 b(major)g(impro)o(v)o(ements)e(contained)h(in)i (this)g(paper)f(are)g(mainly)g(due)g(to)h(\(i\))f(the)h(use)g(of)f(a)h (simple)g(scalar)g(conjugate)83 3203 y(operator)15 b(\(see)i(Section)f (2.2\),)g(and)g(\(ii\))g(the)h(application)e(of)i(the)f(ne)n(w)h (approach)d(of)j([8)o(])g(de)n(v)o(eloped)d(for)i(dealing)g(with)h (singular)83 3303 y(perturbations)k(\(see)i(Section)f(4\).)h(These)g (tw)o(o)g(ne)n(w)g(technical)f(tools)h(allo)n(w)g(us)g(to)g(treat)g (Coulomb)f(singularities)g(and)h(long-)83 3402 y(range)e(matrix)g(v)n (alued)f(potentials.)h(In)g(the)h(same)g(time,)g(we)g(e)o(xtend)e(the)i (class)g(of)g(magnetic)e(\002elds)j(that)e(can)h(be)f(considered)83 3502 y(from)c(continuous)g(ones)h(to)h(locally)f(bounded)d(ones.)j(Due) 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5349 y Fv(0)2819 5337 y Fw(\))p Fx( )s Fr(i)933 5462 y Fw(=)23 b Fr(h)p Fx( )s(;)14 b(')p Fw(\()p Fx(H)1302 5474 y Fv(0)1340 5462 y Fw(\))p Fx(R)q(')p Fw(\()p Fx(H)1591 5474 y Fv(0)1629 5462 y Fw(\))p Fx( )s Fr(i)g Fx(:)1905 5836 y Fy(6)p eop end %%Page: 7 7 TeXDict begin 7 6 bop 83 473 a Fy(Since)20 b Fm(D)p Fw(\()p Fx(A)p Fw(\))i Fy(is)f(dense)f(in)g Fr(H)i Fy(the)e(identity)1142 636 y Fr(h)q Fx( )s(;)14 b(')p Fw(\()p Fx(H)1424 648 y Fv(0)1462 636 y Fw(\))p Fx(T)e(')p Fw(\()p Fx(H)1710 648 y Fv(0)1747 636 y Fw(\))p Fx( )s Fr(i)23 b Fw(=)g Fr(h)p Fx( )s(;)14 b(')p Fw(\()p Fx(H)2260 648 y Fv(0)2298 636 y Fw(\))p Fx(R)q(')p Fw(\()p Fx(H)2549 648 y Fv(0)2587 636 y Fw(\))p Fx( )s Fr(i)83 798 y Fy(e)n(v)o(en)30 b(holds)g(for)g (each)g Fx( )45 b Fr(2)e(H)q Fy(.)30 b(No)n(w)-5 b(,)30 b(for)g Fx(\025)43 b(>)f Fw(0)30 b Fy(and)g Fx(")42 b Fr(2)h Fw(\(0)p Fx(;)14 b(\025)p Fw(\))32 b Fy(\002x)o(ed)d(one)h(may)h (choose)e Fx(\021)46 b Fr(2)c Fx(C)3297 768 y Fo(1)3291 819 y Fv(0)3368 798 y Fw(\()p 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Fr(2)23 b Fp(B)s Fw(\()p Fr(H)3100 1889 y Fi(12)3162 1877 y Fw(\))p Fx(:)83 2081 y Fy(T)-7 b(aking)20 b(adv)n(antage)f(of)h(this)h(and)f(of)h(the)g(direct)f(inte)o(gral)g (decomposition)e(of)i Fx(H)2428 2093 y Fv(0)2465 2081 y Fy(,)h(one)g(obtains)f(for)g(each)g Fx(\025)25 b Fr(2)f Fu(R)d Fy(and)f Fx(")k(>)g Fw(0)83 2181 y Fy(the)c(formula)1379 2281 y Fx(\045)1422 2246 y Fq(R)1422 2301 y(H)1476 2309 y Fi(0)1512 2281 y Fw(\()p Fx(\025)p Fw(;)14 b Fx(")p Fw(\))24 b(=)f(ess)14 b(inf)1861 2335 y Fq(\030)r Fo(2)p Fh(R)2043 2281 y Fx(\045)2086 2238 y Fq(R)p Fv(\()p Fq(\030)r Fv(\))2086 2309 y Fq(H)2140 2317 y Fi(0)2173 2309 y Fv(\()p Fq(\030)r Fv(\))2261 2281 y Fw(\()p Fx(\025)p Fw(;)g Fx(")p Fw(\))p Fx(:)1137 b Fy(\(2.6\))249 2470 y(No)n(w)20 b(we)h(can)f(deduce)f(a)h(lo)n(wer)g(bound)e(for)i Fx(\045)1593 2440 y Fq(T)1593 2493 y(H)1647 2501 y Fi(0)1684 2470 y Fw(\()5 b Fr(\001)g Fw(\))p Fy(.)83 2620 y Fl(Pr)o(oposition)19 b(2.11.)39 b Fn(F)-9 b(or)21 b Fx(\025)i Fr(\025)g Fw(0)d 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y(commutator)21 b(calculations)i(performed)d(on)j Fp(D)8 b Fy(,)24 b(one)f(obtains)f (that)i Fr(h)p Fx(Q)2176 4371 y Fv(3)2213 4359 y Fr(i)2245 4318 y Fo(\000)p Fv(1)2348 4359 y Fx(A)g Fy(and)f Fr(h)p Fx(Q)2676 4371 y Fv(3)2713 4359 y Fr(i)2745 4318 y Fo(\000)p Fv(2)2848 4359 y Fx(A)h Fy(are)g(respecti)n(v)o(ely)d(equal)i(on)83 4468 y Fp(D)38 b Fy(to)29 b(some)g(operators)f Fx(S)874 4480 y Fv(1)941 4468 y Fy(and)h Fx(S)1142 4480 y Fv(2)1193 4468 y Fr(h)p Fx(Q)1291 4480 y Fv(3)1328 4468 y Fr(i)1360 4426 y Fo(\000)p Fv(1)1479 4468 y Fy(in)h Fp(B)s Fw(\()p Fr(H)q Fw(\))p Fy(,)h(where)d Fx(S)2122 4480 y Fv(1)2189 4468 y Fy(and)h Fx(S)2390 4480 y Fv(2)2457 4468 y Fy(are)g(linear)g (combinations)e(of)i(products)f(of)83 4578 y(operators)18 b Fx(f)9 b Fw(\()p Fx(P)547 4590 y Fv(3)584 4578 y Fw(\))p Fy(,)21 b Fx(g)s Fw(\()p Fx(G)798 4590 y Fv(3)835 4578 y Fw(\))f Fy(and)f Fw([)p Fx(h)p Fw(\()p Fx(P)1183 4590 y Fv(3)1221 4578 y Fw(\))p Fx(;)14 b Fr(h)q Fx(Q)1389 4590 y Fv(3)1425 4578 y Fr(i)q 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b Fr(H)840 1818 y Ft(\001)878 1919 y Fv(1)p Fq(=)p Fv(2)p Fq(;)p Fv(1)1036 1885 y Fy(,)20 b(and)g(of)g(its)i(adjoint.)d(Since)i(both)f(are)g(not)g(standard)f (spaces,)i(one)f(may)g(use)h([1)o(,)g(Cor)-5 b(.)20 b(2.6.3])83 2012 y(to)e(sho)n(w)g(that)g Fr(K)25 b(\032)676 1945 y Ft(\000)714 2012 y Fm(D)p Fw(\()p Fx(A)p Fw(\))p Fx(;)14 b Fr(H)1017 1945 y Ft(\001)1056 2045 y Fv(1)p Fq(=)p Fv(2)p Fq(;)p Fv(1)1232 2012 y Fy(and)j(to)h(get)g(the)g(statement)g (\(d\).)f(The)h(only)f(non-tri)n(vial)f(hypothesis)g(one)i(has)g(to)g (v)o(erify)83 2130 y(is)j(the)f(inclusion)g Fm(D)p Fw(\()p Fr(h)p Fx(Q)806 2142 y Fv(3)843 2130 y Fr(i)p Fw(\))k Fr(\032)e Fm(D)p Fw(\()p Fx(A)p Fw(\))p Fy(,)g(which)d(has)i(already)e (been)g(sho)n(wn)h(in)g(Lemma)f(2.6.)p 3708 2130 V 3712 2078 50 4 v 3712 2130 V 3761 2130 4 57 v 249 2293 a(Note)27 b(that)h(these)f(results)h(imply)f(that)g Fx(H)35 b Fy(has)28 b(a)f(spectral)g(gap.)g(W)-7 b(e)28 b(are)f(no)n(w)g(ready)g(to)g(add)g (a)h(singular)e(part)h(to)h(the)83 2393 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Fr(\001)h Fw(\()p Fr(r)p Fx(\022)r Fw(\)\()p Fx(Q=r)r Fw(\))p Fr(k)k Fy(is)f(bounded)d(uniformly)g(in)i Fx(r)k Fy(and)20 b(since)i Fx(r)28 b Fr(7!)d Fx(r)2121 5457 y Fo(\000)p Fv(1)2232 5487 y Fy(belongs)20 b(to)i Fs(L)2636 5457 y Fv(2)2674 5487 y Fw(\([1)p Fx(;)14 b Fr(1)p Fw(\))p Fx(;)g Fw(d)p Fx(r)r Fw(\))p Fy(,)22 b(one)f(readily)f(\002nishes)83 5587 y(the)g(proof.)p 3708 5587 V 3712 5534 50 4 v 3712 5587 V 3761 5587 4 57 v 1905 5836 a(9)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 249 473 a Fy(T)-7 b(aking)19 b(last)i(lemma)f (into)g(account,)f(we)h(can)g(pro)o(v)o(e)f(that)h Fx(H)27 b Fy(and)2194 452 y Ft(e)2174 473 y Fx(H)h Fy(ha)n(v)o(e)19 b(se)n(v)o(eral)h(similar)g(properties.)83 638 y Fl(Lemma)c(4.2.)32 b Fn(Let)16 b Fx(H)22 b Fn(and)902 617 y Ft(e)882 638 y Fx(H)h Fn(be)15 b(as)h(in)f(Lemma)g(4.1,)g(and)f(assume)h(that)2204 617 y Ft(e)2184 638 y Fx(H)23 b Fn(is)16 b(locally)f(compact.)f(Then)h Fx(\033)3136 650 y Fv(ess)3222 638 y Fw(\()3274 617 y Ft(e)3254 638 y Fx(H)7 b 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Fx(i)p Fw(\))1605 1025 y Fo(\000)p Fv(1)1721 1055 y Fy(is)27 b(a)g(compact)e(operator)f(due)h(to)i([8)o(,)f(Lem.)g(3.8])f (\(the)h(proof)e(of)i(this)83 1165 y(result)18 b(is)h(based)e(on)h(the) g(f)o(act)g(that)g(both)f Fx(H)25 b Fy(and)1492 1144 y Ft(e)1473 1165 y Fx(H)g Fy(are)18 b(locally)f(compact)g(and)h(that)g Fx(H)25 b Fy(has)18 b(some)g(re)o(gularity)e(properties)g(with)83 1264 y(respect)k(to)g(the)g(operator)f Fx(Q)p Fy(\).)h(This)g(f)o(act)g (implies)h(the)f(\002rst)h(claim.)249 1364 y(Since)d Fx(H)25 b Fy(and)703 1343 y Ft(e)684 1364 y Fx(H)f Fy(ha)n(v)o(e)17 b(the)h(same)g(essential)g(spectrum)e(and)h Fx(H)25 b Fy(has)18 b(a)g(spectral)f(gap,)g(these)g(operators)g(ha)n(v)o(e)f(a)i (common)83 1464 y(spectral)k(gap,)f(and)g(thus)h(there)g(e)o(xists)g Fx(z)30 b Fr(2)c Fu(R)20 b Fr(n)g(f)p Fx(\033)s Fw(\()p Fx(H)7 b Fw(\))20 b Fr([)g Fx(\033)s Fw(\()1950 1443 y Ft(e)1930 1464 y Fx(H)7 b Fw(\))p Fr(g)p Fy(.)22 b(Let)h Fx(R)k Fw(:=)f(\()p Fx(H)h Fr(\000)19 b Fx(z)t Fw(\))2748 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1849 y Ft(\015)1586 1899 y(\015)1632 1920 y Fx(#)p Fw(\()p Fr(j)p Fx(Q)1802 1932 y Fv(3)1839 1920 y Fr(j)p Fx(=r)r Fw(\)\()2024 1899 y Ft(e)2007 1920 y Fx(R)f Fr(\000)e Fx(R)q Fw(\))2269 1849 y Ft(\015)2269 1899 y(\015)2338 1920 y Fx(<)23 b Fr(1)p Fx(:)83 2166 y Fy(By)f(applying)d([1)o(,)i(Thm.)g(7.5.8])e(as)j (in)f(the)g(proof)f(of)h(Proposition)e(3.2,)h(it)i(follo)n(ws)f(that) 2682 2145 y Ft(e)2666 2166 y Fx(R)f Fr(\000)f Fx(R)j Fy(belongs)e(to)h Fx(C)3349 2136 y Fv(1)p Fq(;)p Fv(1)3439 2166 y Fw(\()p Fx(A)p Fw(\))p Fy(.)i(No)n(w)83 2276 y Fx(R)e Fy(also)g(belongs)e(to)h Fx(C)751 2246 y Fv(1)p Fq(;)p Fv(1)842 2276 y Fw(\()p Fx(A)p Fw(\))h Fy(due)f(to)g (Proposition)f(3.2.)g(Thus)1967 2255 y Ft(e)1951 2276 y Fx(R)i Fy(belongs)e(to)i Fx(C)2465 2246 y Fv(1)p Fq(;)p Fv(1)2555 2276 y Fw(\()p Fx(A)p Fw(\))h Fy(and)d(the)i(second)e(claim)h (is)h(pro)o(v)o(ed.)249 2375 y(The)f(last)h(claim)f(is)h(obtained)e (from)g(what)h(precedes)f(as)i(in)g(the)f(proof)f(of)g(Theorem)g(3.3.)p 3708 2375 4 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b(Equ.)g(Oper)-9 b(.)221 839 y(Theory)20 b Fy(34:)g(377\226395,)d(1999.)83 1005 y([4])40 b(A.M.)24 b(Boutet)g(de)g(Mon)m(v)o(el)e(and)h(R.)i(Purice,)41 b(A)24 b(distinguished)e(self-adjoint)h(e)o(xtension)f(for)i(the)g (Dirac)f(operator)f(with)221 1104 y(strong)e(local)g(singularities)f (and)h(arbitrary)f(beha)n(viour)f(at)i(in\002nity)-5 b(,)29 b Fn(Rep.)19 b(Math.)h(Phys.)g Fy(34:)g(351\226360,)d(1994.)83 1270 y([5])40 b(P)-9 b(.R.)23 b(Chernof)n(f,)34 b(Schr)7 b(\250)-35 b(odinger)19 b(and)j(Dirac)g(operators)f(with)h(singular)f (potentials)h(and)f(hyperbolic)f(equations,)34 b Fn(P)-7 b(aci\002c)221 1370 y(J)n(.)21 b(Math.)e Fy(72:)h(361\226382,)d(1977.) 83 1536 y([6])40 b(L.I.)25 b(Danilo)o(v)-5 b(,)43 b(On)25 b(the)g(spectrum)f(of)h(the)g(tw)o(o-dimensional)e(periodic)h(Dirac)h (operator)m(,)42 b Fn(Theo.)25 b(and)f(Math.)g(Physics)221 1636 y Fy(118\(1\):)19 b(1\22611,)f(1999.)83 1802 y([7])40 b(V)-11 b(.)27 b(Geor)o(gescu)e(and)h(C.)h(G)5 b(\264)-33 b(erard,)49 b(On)26 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Fy(38:)f(649\226666,)f (2001.)1884 5836 y(13)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------0611261625924--