{"title":"Thermodynamics on the Non-Commutative Dirac Oscillator with the Mie-Type Potential","authors":"M. Qolizadeh, S. M. Motevalli, S. S. Hosseini","doi":"10.1007/s10773-025-05893-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigated the relativistic Dirac oscillator in commutative and noncommutative space. We solved this equation in an accurate analytical method and obtained the corresponding energy eigenvalues and eigenfunctions. Additionally, we examined the thermal properties of the N-fermion system, including the entropy, specific heat capacity, internal energy, and Helmholtz free energy. Furthermore, we demonstrated that in the limit θ → 0, the commutative result is recovered.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-05893-y","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigated the relativistic Dirac oscillator in commutative and noncommutative space. We solved this equation in an accurate analytical method and obtained the corresponding energy eigenvalues and eigenfunctions. Additionally, we examined the thermal properties of the N-fermion system, including the entropy, specific heat capacity, internal energy, and Helmholtz free energy. Furthermore, we demonstrated that in the limit θ → 0, the commutative result is recovered.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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