Superstatistics of the Dunkl oscillator
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초록

We use the momentum operator with the Dunkl derivative in quantum mechanics and derive its Schrodinger 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. (C) 2021 Elsevier B.V. All rights reserved.

키워드

SuperstatisticsDunkl derivativeSchrodinger equationModified Dirac delta distributionSTATISTICSBOLTZMANN
제목
Superstatistics of the Dunkl oscillator
저자
Hassanabadi, Hassande Montigny, MarcChung, Won SangSedaghatnia, Parisa
DOI
10.1016/j.physa.2021.126154
발행일
2021-10-15
유형
Article
저널명
Physica A: Statistical Mechanics and its Applications
580