论文标题
非交通相空间中的二维Pauli方程
Two-dimensional pauli equation in noncommutative phase-space
论文作者
论文摘要
在本文中，我们通过考虑垂直于平面的恒定磁场来研究Pauli方程。我们通过一组二维BOPP迁移转换将非交通性问题映射到了同等的交换性问题。发现了二维非共同保利方程的能量谱和波函数，其中所讨论的问题已映射到Landau问题。此外，在经典限制内，我们得出了一粒子和N粒子系统的二维Pauli系统的非交通性半经典分区功能。因此，我们研究了其热力学特性，即在非交通和交换相空间中的Helmholtz自由能，平均能量，比热和熵。成功研究了相位非交通性对Pauli系统的影响。
In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. We mapped the noncommutative problem to the equivalent commutative one through a set of two-dimensional Bopp-shift transformation. The energy spectrum and the wave function of the two-dimensional noncommutative Pauli equation are found, where the problem in question has been mapped to the Landau problem. Further, within the classical limit, we have derived the noncommutative semi-classical partition function of the two-dimensional Pauli system of one-particle and N-particle systems. Consequently, we have studied its thermodynamic properties, i.e. the Helmholtz free energy, mean energy, specific heat and entropy in noncommutative and commutative phase-spaces. The impact of the phase-space noncommutativity on the Pauli system is successfully examined.
