Affiliation:
1. B. I. Stepanov Institute of Phy- sics of the National Academy of Sciences of Belarus
2. Instituto de Astrofísica e Ciências do Espaço
Abstract
In this paper, we consider the problem of the classical and quantum movement of a charged particle in a two-dimensional Lobachevsky space in the presence of analogues of uniform magnetic and electric fields. Based on this consideration, equations for the conductivity for the classical and quantum Hall effect are obtained. It is shown that in Lobachevsky space the presence of a small electrical field leads to a shift of the stair structure of the quantum Hall conductivity.
Publisher
Publishing House Belorusskaya Nauka
Subject
Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics