论文标题
在3D中恒定磁场中带电的谐波振荡器的非交通相空间引起的能量校正
Energy corrections due to the Non-commutative Phase-Space of the Charged Harmonic Oscillator in a constant magnetic field in 3D
论文作者
论文摘要
在这项研究中，我们研究了三维中非交通量子力学对在Z方向存在均匀磁场的情况下带电的各向同性谐波振荡器的能级的影响。将这个问题扩展到三个维度被证明是非平凡的。我们在弱非交换性的低能限制下以封闭形式获得对能级的一阶校正。我们可以指出的最重要的结果是，由于非交通性而引起的所有能量校正都是负的，并且随着量子数和磁场的增加，它们的幅度增加。
In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy levels of a charged isotropic harmonic oscillator in the presence of a uniform magnetic field in the z-direction. The extension of this problem to three dimensions proves to be non-trivial. We obtain the first-order corrections to the energy-levels in closed form in the low energy limit of weak noncommutativity. The most important result we can note is that all energy corrections due to noncommutativity are negative and their magnitude increase with increasing Quantum numbers and magnetic field.
