Superstatistics of the Dunkl oscillator

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

Physica A: Statistical Mechanics and its Applications, 2021, vol. 580, issue C

Abstract: We use the momentum operator with the Dunkl derivative in quantum mechanics and derive its Schrödinger equation in one dimension with a harmonic oscillator potential. With the energy eigenvalues of such systems, we calculate their principal thermodynamical properties, the Helmholtz free energy, mean energy and entropy, and discuss the effects of the Dunkl parameter and modified Dirac delta function parameters on thermodynamical quantities. Then we use the superstatistics and calculate the thermodynamical properties of the system and analyze the effects of all the parameters on the thermodynamical quantities. We reduce all the results to the limit case of ordinary statistical mechanics.

Keywords: Superstatistics; Dunkl derivative; Schrödinger equation; Modified Dirac delta distribution (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004271

DOI: 10.1016/j.physa.2021.126154

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