Superstatistics of the Dunkl oscillator

DOI10.1016/J.PHYSA.2021.126154OpenAlexW3171716333MaRDI QIDQ2070518

Won-Sang Chung, Parisa Sedaghatnia, Hassan Hassanabadi, Marc de Montigny

Publication date: 24 January 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2021.126154

zbMATH Keywords

Schrödinger equationsuperstatisticsDunkl derivativemodified Dirac delta distribution

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ Superstatistical approach of the anomalous exponent for scaled Brownian motion

Cites Work

• Riesz transforms for the dunkl harmonic oscillator
• Harmonic analysis associated with the Jacobi-Dunkl operator on \(-\frac{\pi}{2},\frac{\pi}{2}[\)]
• The Dunkl oscillator in the plane. II: Representations of the symmetry algebra
• Superstatistics: theory and applications
• Differential-Difference Operators Associated to Reflection Groups
• Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator
• General distribution function for the superstatistics and new superstatistics with non-vanishing rth moments for even r
• Generalized entropies and the transformation group of superstatistics
• The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients
• One-dimensional quantum mechanics with Dunkl derivative
• A Note on the Quantum Rule of the Harmonic Oscillator
• Superstatistics

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