Pauli Oscillator In Noncommutative Space

Abstract

In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than $2.57\times 10^{-26}{m}^2$. Then, we derive the Helmholtz free energy, internal energy, specific heat, and entropy functions of the Pauli oscillator in the noncommutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively

References in corpus (6)

• Seiberg--Witten Maps to All Orders
• Quantum Fields on the Groenewold-Moyal Plane
• Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
• Two-dimensional pauli equation in noncommutative phase-space
• Dimensional Reduction, Seiberg--Witten Map and Supersymmetry
• Analysis of the Dirac equation with the Killingbeck potential in non-commutative space

Cited by in corpus (3)

• Thermal Properties of Relativistic Dunkl Oscillators
• Generalized uncertainty principle or curved momentum space?
• Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space