The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic

Abstract

In the framework of the theory of Dunkl-deformed bosons, Bose-Einstein condensation of two and three-dimensional Dunkl-boson gases confined in the one-dimensional gravitational field is investigated. Using the semi-classical approximation method, we calculate the expressions of the Dunkl-critical temperature $T_c^D$, the ground state population $\frac{N_0^D}{N}$ and the Dunkl-mean energy and Dunkl-specific heat functions. Further numerical calculation shows that the condensation temperature ratio $\frac{T_c^D}{T_c^B}$ increases with the increasing Wigner parameter.

10 pages 4 figures

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Cited by in corpus (13)

• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
• Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
• The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions
• Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
• The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
• One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
• On Dunkl-Bose-Einstein Condensation in Harmonic Traps
• Dunkl-Klein-Gordon Equation in Higher Dimensions
• 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