GROUND-STATE OF A SPIN-1-2 CHARGED-PARTICLE IN A 2-DIMENSIONAL MAGNETIC-FIELD

被引：310

作者：

AHARONOV, Y

CASHER, A

机构：

[1] Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv

来源：

PHYSICAL REVIEW A | 1979年 / 19卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.19.2461

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We prove that a spin-1/2 charged particle moving in a plane under the influence of a perpendicular magnetic field has (N-1) zero-energy states, where N is the closest integer to the total flux in units of the flux quantum. The (N-1) independent wave functions are calculated explicitly. The result, which is extremely simple to prove, is an example of the Atiyah-Singer index theorem when applied to the Euclidean two-dimensional Dirac equation. © 1979 The American Physical Society.

引用

页码：2461 / 2462

页数：2