Statistical properties of the two-dimensional Dirac oscillator with spin-orbit coupling

被引:3
作者
Chargui, Yassine [1 ,2 ]
Dhahbi, Anis [1 ,2 ]
机构
[1] Qassim Univ, Coll Sci & Arts ArRass, Phys Dept, POB 53, Arrass 51921, Saudi Arabia
[2] Univ Tunis El Manar, Nucl Phys & High Energy Phys Res Unit, Fac Sci Tunis, Tunis 2092, Tunisia
关键词
Dirac Oscillator; Spin-orbit coupling; Thermodynamic; FOLDY-WOUTHUYSEN TRANSFORMATION; HIDDEN SUPERSYMMETRY; EQUATION; SYSTEM; STABILITY; ALGEBRA; QUANTUM;
D O I
10.1016/j.aop.2020.168328
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the statistical properties of a two-dimensional Dirac oscillator (2D DO) in the presence of a spin-orbit coupling, breaking its supersymmetry. The Hamiltonian of the problem is shown to admit an exact Foldy-Wouthuysen transformation, which allowed us to discard negative-energy states in carrying out our study. The main thermodynamical functions: the Helmholtz free energy, the mean energy, the entropy and the specific heat, are obtained from the canonical partition function, and their behaviours are analysed. The high temperature limit of different thermodynamical functions is probed analytically by utilizing the Euler-Maclaurin formula. (c) 2020 Elsevier Inc. All rights reserved.
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页数:13
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