论文标题
二维非交通量子力学中的量规不变光谱
Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
论文作者
论文摘要
在本文中，我们考虑了一个电子在各向异性谐波电位的影响下浸入恒定磁场的二维非交通平面上移动的电子。我们使用在\ cite {nctori，gauge-wigfunc}中提出的一致规格处方来制定该系统的规格不变能谱。随后，我们还表明，在非交通设置中使用最小耦合处方的直接概括，这在文献中许多情况下都违反了能量光谱的规格不变性。
In this paper we consider an electron moving on a two dimensional noncommutative plane immersed in a constant magnetic field under the influence of an anisotropic harmonic potential. We work out the gauge invariant energy spectra of this system using a consistent gauge prescription proposed in \cite{nctori,gauge-wigfunc}. We also show subsequently that straightforward generalization of the Landau problem in the noncommutative setting using minimal coupling prescription as is done naively on many occasions in the literature violates gauge invariance of the energy spectra.
