Dunkl-Pauli Equation in the Presence of a Magnetic Field

Abstract

The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-$1/2$ particles. The Dunkl derivative, when used instead of the ordinary derivative, leads to obtaining parity-dependent solutions. Motivated by these facts, in this work, we consider a two-dimensional nonrelativistic spin-$1/2$ particle system in the presence of an external magnetic field, and we investigate its parity-dependent dynamics by solving the Pauli equation analytically. Next, we assume the system to be in thermal equilibrium, and we examine various thermal quantities of the system.

17 pages, 8 figures

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• Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
• Dunkl-Schrodinger Equation in Higher Dimension
• Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
• The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
• A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
• One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
• Dunkl-Klein-Gordon Equation in Higher Dimensions
• Time-dependent Dunkl-Pauli Oscillator
• Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
• Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
• Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well
• A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties