{"title":"Two Parameter Deformed Dirac Oscillator in 3-Minkowski Space-time","authors":"Furkan Semih Dündar, Ali Serdar Arıkan","doi":"10.1007/s10773-025-06140-0","DOIUrl":null,"url":null,"abstract":"<div><p>The study concerns two-parameter deformed Dirac oscillator in 3-Minkowski space-time. We provide analytical results for energy spectrum and energy eigenvectors. Using the inverse eigenvalue problem, potential functions for non-relativistic quantum mechanics in order to model four examples are provided, which reproduce the first order quantum correction to energy spectrum up to a certain level. We also found out modified commutation relation between position and momentum that is induced by the <i>pq</i>-deformed algebra of creation and annihilation operators and commented on a possible application to model minimum length models in quantum gravity. Finally we also comment on an application area in the context of quantum computing via possible relation of our model to the two parameter deformed Jaynes-Cummings model.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-09-12","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/s10773-025-06140-0","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
The study concerns two-parameter deformed Dirac oscillator in 3-Minkowski space-time. We provide analytical results for energy spectrum and energy eigenvectors. Using the inverse eigenvalue problem, potential functions for non-relativistic quantum mechanics in order to model four examples are provided, which reproduce the first order quantum correction to energy spectrum up to a certain level. We also found out modified commutation relation between position and momentum that is induced by the pq-deformed algebra of creation and annihilation operators and commented on a possible application to model minimum length models in quantum gravity. Finally we also comment on an application area in the context of quantum computing via possible relation of our model to the two parameter deformed Jaynes-Cummings model.
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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