{"title":"DKP Oscillator in \\( (1+2)- \\)dimensions Under a Uniform Magnetic Field for Spin\\( -0 \\) and Spin\\( -1 \\) Particles with in Doubly Special Relativity","authors":"Djamel Seffai, Omar Langueur","doi":"10.1007/s10773-025-06042-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate spin-0 and spin-1 Duffin-Kemmer-Petiau (DKP) particles within the context of the Magueijo-Smolin (MS) model, which constitutes one of the proposals in the concept of doubly special relativity (DSR). Our focus is on a two-dimensional DKP oscillator under a uniform magnetic field. For spin-0 particles, we explicitly derive the energy eigenvalues, while for spin-1 particles, we analyze the non-relativistic limit and present the system in the form of a Schrödinger oscillator, the non-relativistic energy spectra are obtained. Moreover, we report a special solution for the case of spin-1 particles. For both cases, the corresponding wave functions are expressed in terms of confluent hypergeometric functions. Finally, we show the influence of DSR on the eigenenergy values.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-06-06","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/s10773-025-06042-1","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 investigate spin-0 and spin-1 Duffin-Kemmer-Petiau (DKP) particles within the context of the Magueijo-Smolin (MS) model, which constitutes one of the proposals in the concept of doubly special relativity (DSR). Our focus is on a two-dimensional DKP oscillator under a uniform magnetic field. For spin-0 particles, we explicitly derive the energy eigenvalues, while for spin-1 particles, we analyze the non-relativistic limit and present the system in the form of a Schrödinger oscillator, the non-relativistic energy spectra are obtained. Moreover, we report a special solution for the case of spin-1 particles. For both cases, the corresponding wave functions are expressed in terms of confluent hypergeometric functions. Finally, we show the influence of DSR on the eigenenergy values.
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
