Thermodynamics of bosons systems related to Dunkl differential-difference operators

Abstract

We study the thermodynamics of systems based on a Fock space representation inspired by the differential-difference operators proposed in Ref. \cite{Dunkl}. We calculate thermodynamic functions as the entropy and heat capacity and compare them with the standard boson case. A calculation of the second virial coefficient and the scalar curvature in two and three dimensions show that these systems becomes repulsive within an interval of negative values of the reflection operator parameter ${\mu }_0$. In addition, the stability of this system is examined as a function of ${\mu }_0$

14 pages, 7 figures

References in corpus (3)

• Exact solution for mean first-passage time on a pseudofractal scale-free web
• The Dunkl oscillator in three dimensions
• Ruppeiner Geometry of Anyon Gas

Cited by in corpus (11)

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• The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
• 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
• 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