相对论性二维电子的量子运动

RELATIVISTIC QUANTUM MOTION OF TWO-DIMENSIONAL ELECTRON

根据超对称量子力学及其与(1+2)维时空中费米子与规范场相互作用的 Dirac 方程的等价性求出了在强磁场中作相对论性运动的二维电子的能级和能量本征函数.所得结果将有助于量子Hall 效应的理论研究.

In this article we calculate the energy spectrum and the eigenfunctions of the two--dimensionalelectron,moving relativistically in the strong magnetic field,according to the equivalence between thesupersymmetric quantum mechanics and the Dirae equation of a fermion,interacting with a gaugefield of the (1+2)-dimensional space-time.Our results are useful to the theoretical research in thequantum Hall effect.