Two-dimensional pauli equation in noncommutative phase-space
Abstract
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.
Cite
@article{arxiv.2012.06986,
title = {Two-dimensional pauli equation in noncommutative phase-space},
author = {Ilyas Haouam},
journal= {arXiv preprint arXiv:2012.06986},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2006.00881