二维非对易量子力学中的规范不变能谱
数学物理
2021-05-25 v2 math.MP
量子物理
摘要
在本文中，我们考虑一个电子在恒定磁场中、受各向异性谐振势影响、运动于二维非对易平面上。我们利用 \cite{nctori,gauge-wigfunc} 中提出的一致规范方案，求出该系统的规范不变能谱。我们随后还表明，文献中许多场合朴素地采用最小耦合方案对非对易设定下的 Landau 问题进行直接推广，会破坏能谱的规范不变性。
引用
@article{arxiv.2003.12662,
title = {Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics},
author = {S. Hasibul Hassan Chowdhury and Talal Ahmed Chowdhury and MD Arman Ud Duha},
journal= {arXiv preprint arXiv:2003.12662},
year = {2021}
}
备注
23 pages, 5 figures, published version, title changed, a new section (section IV) on noncommutative quantum Hall effect is added, typos corrected, concluding remarks added based on the added section, references modified