Quantum Charged Particle in a Flat Box under Static Electromagnetic Field with Landau’s Gauge and Special Case with Symmetric Gauge
Quantum Charged Particle in a Flat Box under Static Electromagnetic Field with Landau’s Gauge and Special Case with Symmetric Gauge作者机构：Departamento de Física Universidad de Guadalajara Guadalajara México
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2021年第12卷第10期
页 面：1464-1474页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Landau’s Gauge Symmetric Gauge Quantum Hall Effect Flat Box
摘 要：We summarize our results about the quantization of a charged particle motion without spin inside a flat box under a static electromagnetic field with Landau’s gauge for the magnetic field, where Fourier’s transformation was used to analyze the problem, to point out that there exists a wave function which is different to that one given by Landau with the same Landau’s levels. The quantization of the magnetic flux is deduced differently to previous one, and a new solution is presented for the case of symmetric gauge of the magnetic field, and having the same Landau’s levels.
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