On the classical dynamics of charged particle in special class of spatially non-uniform magnetic field

被引：0

作者：

Ranveer Kumar Singh

机构：

[1] Indian Institute of Science Education and Research Bhopal,Department of Mathematics

来源：

Indian Journal of Physics | 2019年 / 93卷

关键词：

Classical trajectory; Landau gauge; Hamiltonian formalism; Non-uniform magnetic field; Supersymmetry; 45.20.-d; 45.20.Jj;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Motion of a charged particle in uniform magnetic field has been studied in detail, classically as well as quantum mechanically. However, classical dynamics of a charged particle in non-uniform magnetic field is solvable only for some specific cases. We present, in this paper, a general integral equation for some specific class of non-uniform magnetic field and its solutions for some of them. We also examine the supersymmetry of Hamiltonians in exponentially decaying magnetic field with radial dependence and conclude that this kind of non-uniformity breaks supersymmetry.

引用

页码：503 / 509

页数：6