Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field \(f^{\mu }\gamma ^{5}\) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials
{"title":"Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field \\(f^{\\mu }\\gamma ^{5}\\) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials","authors":"K. Bakke, H. Belich","doi":"10.1007/s10773-023-05363-3","DOIUrl":null,"url":null,"abstract":"<div><p>We study the Modified Pöschl-Teller potential, the Woods-Saxon potential and the harmonic oscillator potential under Lorentz symmetry violation effects caused by the coupling between the fixed vector field <span>\\(B^{\\mu }=f^{\\mu }\\gamma ^{5}\\)</span> and the derivative of the fermionic field. We show that the Lorentz symmetry violation effects can influence the spectra of energy.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-06-01","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/s10773-023-05363-3","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
We study the Modified Pöschl-Teller potential, the Woods-Saxon potential and the harmonic oscillator potential under Lorentz symmetry violation effects caused by the coupling between the fixed vector field \(B^{\mu }=f^{\mu }\gamma ^{5}\) and the derivative of the fermionic field. We show that the Lorentz symmetry violation effects can influence the spectra of energy.
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.