Charged Particle in a Flat Box with Static Electromagnetic Field and Landau’s Levels

• 作者: Jorge A. Lizarraga
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Landau’s Levels Quantum Hall Effect Flat Box
• 年，卷（期）: 2020,（10）
• 页码范围: 1731-1742
• 页数: 12页
• 分类号: O17

摘要

We study the quantization of a charged particle motion without spin inside a flat box under a static electromagnetic field. Contrary to Landau’s solution with constant magnetic field transverse to the box and using Fourier transformation, we found a full solution for the wave function which is different from that one given by Landau, and this fact remains when static electric field is added. However, the Landau’s levels appear in all cases.