02-495 Osamu Ogurisu
Generalized boundary conditions of a spin-1/2 particle for the Aharonov-Bohm effect combined with a homogeneous magnetic field (301K, Postscript) Nov 28, 02
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. Exner et.\ al.\ have derived the most general admissible boundary conditions (MGABC) of the Schr\"odinger operator $$H$$ for an idealized Aharonov-Bohm flux interacting the plane at the origin on the background of a homogeneous magnetic field [J.\ Math.\ Phys., \textbf{43}, p2151--2168 (2002)]. In this paper, we derive the MGABC of the Dirac-Weyl operator $$Q$$ under the same situation. It is differ from $$H$$ that the `standard boundary condition,' \begin{math} \lim_{r\to 0}\Psi(r)=0 \end{math}, gives no self-adjoint extension of $$Q$$ and that we can obtain exactly spectra and eigenfunctions of all self-adjoint extensions of $$Q$$.

Files: 02-495.src( 02-495.keywords , preprint.ps )