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/F7 1 Tf
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/F8 1 Tf
7.9701 0 0 7.9701 117.6787 688.0074 Tm
(n)Tj
/F2 1 Tf
11.9552 0 0 11.9552 127.2359 689.8007 Tm
[(taking)-328.1(the)-328(v)54.4(alues)]TJ
/F9 1 Tf
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()Tj
/F7 1 Tf
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/F2 1 Tf
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/F2 1 Tf
1.8319 0 TD
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[(0)-328(randomly)81.5(.)-440.1(Denote)-328.1(b)27.2(y)]TJ
/F7 1 Tf
10.2227 0 TD
()Tj
/F11 1 Tf
7.9701 0 0 7.9701 390.7178 694.1395 Tm
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/F8 1 Tf
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11.9552 0 0 11.9552 401.7245 689.8007 Tm
[(the)-328(elemen)27.2(ts)-328(of)-328.1(the)]TJ
-24.3301 -1.6847 TD
[(canonical)-300.3(p)-27.2(osition)-300.3(basis)-300.3(of)]TJ
/F7 1 Tf
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/F2 1 Tf
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/F12 1 Tf
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(Z)Tj
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f
BT
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[(\),)-305.4(for)-300.2(whic)27.1(h)-300.2(all)-300.2(en)27.1(tries)-300.2(are)]TJ
/F13 1 Tf
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()Tj
/F2 1 Tf
11.9552 0 0 11.9552 433.7923 676.8822 Tm
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9.9626 0 0 9.9626 441.6378 684.2057 Tm
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11.9552 0 0 11.9552 452.5609 669.6593 Tm
[(except)-300.3(at)]TJ
-28.5823 -2.2917 TD
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/F7 1 Tf
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11.9552 0 0 11.9552 285.2752 649.4849 Tm
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/F13 1 Tf
9.9626 0 0 9.9626 293.1208 656.8085 Tm
()Tj
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T*
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/F13 1 Tf
9.9626 0 0 9.9626 343.7191 656.8085 Tm
()Tj
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11.9552 0 0 11.9552 354.669 642.262 Tm
[(for)-302.6(the)-302.5(sup)-27.3(erscript)-302.6(indices)-302.5(+)]TJ
-20.3941 -2.2917 TD
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/F9 1 Tf
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11.9552 0 0 11.9552 247.206 614.8647 Tm
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/F2 1 Tf
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[(is)-326.4(a)-326.3(solution)-326.5(of)-326.4(the)-326.4(eigen)27.2(v)54.4(alue)-326.4(equation)]TJ
-4.1159 -2.6875 TD
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/F2 1 Tf
11.9552 0 0 11.9552 270.0354 582.7352 Tm
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[(m,)-166.6(c)]TJ
/F2 1 Tf
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(E)Tj
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11.9552 0 0 11.9552 205.2513 515.7325 Tm
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7.9701 0 0 7.9701 213.2912 520.6799 Tm
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/F10 1 Tf
0.8264 0 TD
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/F8 1 Tf
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(E)Tj
/F11 1 Tf
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(\))Tj
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ET
1 i
356.535 533.115 60.055 0.398 re
f
BT
/F8 1 Tf
7.9701 0 0 7.9701 382.6551 526.1863 Tm
(c)Tj
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(V)Tj
/F15 1 Tf
5.9776 0 0 5.9776 470.7557 534.0199 Tm
(n)Tj
ET
430.695 533.514 45.166 -0.398 re
f
BT
/F8 1 Tf
7.9701 0 0 7.9701 451.4381 526.1863 Tm
(c)Tj
-12.2447 -0.9613 TD
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/F15 1 Tf
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ET
353.835 517.014 45.166 -0.399 re
f
BT
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(E)Tj
-0.204 -0.9152 TD
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(n)Tj
/F2 1 Tf
11.9552 0 0 11.9552 132.5001 488.0932 Tm
[(is)-356(the)-356.1(transfer)-356.1(matrix)-356.1(at)-356.1(the)]TJ
/F7 1 Tf
12.537 0 TD
(n)Tj
/F2 1 Tf
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[(th)-356.1(step.)-524.1(Recall)-356(that)-356.1(the)-356.1(Ly)27.2(apuno)27.1(v)-356.1(exp)-27.2(o-)]TJ
-14.9321 -1.2083 TD
[(nen)27.2(t)]TJ
/F7 1 Tf
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()Tj
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/F7 1 Tf
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(E)Tj
/F2 1 Tf
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-3.9183 -1.2083 TD
[(transfer)-326.5(matrices)]TJ
/F9 1 Tf
10.7977 -1.2083 TD
()Tj
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(T)Tj
/F8 1 Tf
7.9701 0 0 7.9701 254.406 449.6921 Tm
(E)Tj
-0.204 -0.9902 TD
(V)Tj
/F15 1 Tf
5.9776 0 0 5.9776 257.7116 440.8034 Tm
(n)Tj
/F9 1 Tf
11.9552 0 0 11.9552 265.3011 444.7557 Tm
0.1667 Tc
()Tj
/F7 1 Tf
1.3333 0 TD
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(E)Tj
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(2)Tj
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(1)Tj
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0.2777 Tc
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11.9552 0 0 11.9552 367.0586 444.7557 Tm
(;)Tj
-21.4304 -1.75 TD
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/F2 1 Tf
1.0518 0 TD
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(E)Tj
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[(\))-349.9(i)0(s)-349.8(called)-349.9(the)-349.8(lo)-27.2(calization)-349.9(length.)-505.7(A)-349.8(v)54.4(anishing)-350(Ly)27.2(apuno)27.1(v)-349.8(exp)-27.3(onen)27.2(t)-349.8(i)0(s)]TJ
-2.7057 -1.2083 TD
[(an)-288(indication)-288(of)-287.9(delo)-27.2(calization,)-295.8(so)-287.9(the)-288(next)-287.9(task)-288(is)-288(to)-287.9(nd)-287.9(p)-27.2(ossible)-288(energies)]TJ
31.9451 0.2528 TD
()Tj
/F7 1 Tf
-0.2285 -0.2528 TD
(E)Tj
/F2 1 Tf
-31.7166 -1.2083 TD
(with)Tj
/F7 1 Tf
2.2068 0 TD
()Tj
/F2 1 Tf
0.5623 0 TD
(\()Tj
0.6093 0.2527 TD
()Tj
/F7 1 Tf
-0.2285 -0.2527 TD
(E)Tj
/F2 1 Tf
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[(\))-277.8(=)-277.8(0)0(.)-427.3(I)0(n)-302.9(order)-302.8(to)-302.9(get)-302.8(v)54.4(anishing)-302.9(Ly)27.1(apuno)27.1(v)-302.8(exp)-27.3(onen)27.2(ts)-302.8(and)-302.9(diusion,)]TJ
-3.9333 -1.2083 TD
[(the)-381.5(argumen)27.1(ts)-381.6(will)-381.5(follo)27.1(w)-381.5(those)-381.5(in)-381.5([3,)-381.5(7];)-409.1(detailed)-381.5(mathematical)-381.7(pro)-27.2(ofs)-381.5(will)]TJ
T*
[(app)-27.2(ear)-326.4(elsewhere)-326.5([15].)]TJ
1.4688 -1.2083 TD
[(Giv)27.2(en)-409.7(an)-409.7(initial)-409.8(spinor)-409.8()-409.7(with)-409.7(only)-409.7(one)-409.7(nonzero)-409.8(comp)-27.3(onen)27.2(t)-409.7(\(i.e.,)-430.5(w)27.3(ell-)]TJ
-1.4688 -1.2083 TD
[(lo)-27.2(calized)-335.4(in)-335.4(space\),)-337.7(the)-335.3(dynamical)-335.4(delo)-27.3(calization)-335.3(will)-335.4(b)-27.2(e)-335.4(prob)-27.2(ed)-335.4(b)27.2(y)-335.4(the)-335.3(time)]TJ
T*
[(a)27.2(v)27.3(erage)-487(of)-486.8(the)-486.9(mean)-486.9(squared)-486.9(displacemen)27(t)-486.8(\(also)-487(called)-486.9(second)-486.9(dynamical)]TJ
T*
[(momen)27.1(t\))]TJ
/F7 1 Tf
1.6051 -2.6554 TD
(M)Tj
/F8 1 Tf
7.9701 0 0 7.9701 142.6172 281.457 Tm
(m)Tj
/F10 1 Tf
-0.1566 -0.9901 TD
()Tj
/F2 1 Tf
11.9552 0 0 11.9552 150.6062 276.5215 Tm
(\()Tj
/F7 1 Tf
0.3808 0 TD
(t)Tj
/F2 1 Tf
0.3536 0 TD
0.2778 Tc
(\)=)Tj
1.7979 0.6765 TD
0 Tc
(1)Tj
ET
180.855 279.714 5.853 -0.399 re
f
BT
/F7 1 Tf
11.9552 0 0 11.9552 181.6926 268.3202 Tm
(t)Tj
/F13 1 Tf
9.9626 0 0 9.9626 189.9208 290.5798 Tm
()Tj
/F8 1 Tf
7.9701 0 0 7.9701 199.8835 287.4246 Tm
(t)Tj
/F10 1 Tf
-0.5556 -2.4445 TD
(0)Tj
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9.9626 0 0 9.9626 205.4316 286.4842 Tm
()Tj
/F8 1 Tf
7.9701 0 0 7.9701 210.0583 265.5626 Tm
(n)Tj
/F7 1 Tf
11.9552 0 0 11.9552 221.8152 276.5215 Tm
(n)Tj
/F10 1 Tf
7.9701 0 0 7.9701 228.802 281.457 Tm
(2)Tj
/F13 1 Tf
9.9626 0 0 9.9626 235.5268 288.0782 Tm
()Tj
/F9 1 Tf
11.9552 0 0 11.9552 241.4775 276.5215 Tm
(|)Tj
/F7 1 Tf
0.6667 0 TD
()Tj
/F10 1 Tf
7.9701 0 0 7.9701 255.0804 281.457 Tm
(+)Tj
/F8 1 Tf
-0.0563 -0.9901 TD
(n)Tj
/F7 1 Tf
11.9552 0 0 11.9552 262.1649 276.5215 Tm
0.1667 Tc
(,e)Tj
/F11 1 Tf
7.9701 0 0 7.9701 272.8349 281.457 Tm
0 Tc
()Tj
/F8 1 Tf
0.8264 0 TD
(iH)Tj
/F15 1 Tf
5.9776 0 0 5.9776 289.2613 280.118 Tm
(D)Tj
/F10 1 Tf
7.9701 0 0 7.9701 295.9203 281.457 Tm
(\()Tj
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(s)Tj
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11.9552 0 0 11.9552 320.4314 276.5215 Tm
()Tj
/F9 1 Tf
0.7615 0 TD
(|)Tj
/F10 1 Tf
7.9701 0 0 7.9701 337.5064 281.457 Tm
(2)Tj
/F2 1 Tf
11.9552 0 0 11.9552 344.8947 276.5215 Tm
(+)Tj
/F9 1 Tf
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(|)Tj
/F7 1 Tf
0.6667 0 TD
()Tj
/F11 1 Tf
7.9701 0 0 7.9701 370.2595 281.457 Tm
()Tj
/F8 1 Tf
-0.0563 -0.9901 TD
(n)Tj
/F7 1 Tf
11.9552 0 0 11.9552 377.344 276.5215 Tm
0.1667 Tc
(,e)Tj
/F11 1 Tf
7.9701 0 0 7.9701 388.014 281.457 Tm
0 Tc
()Tj
/F8 1 Tf
0.8264 0 TD
(iH)Tj
/F15 1 Tf
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