{"title":"Quantum Effects on Klein–Gordon Oscillator under a Cornell-type Potential in Kaluza–Klein Theory","authors":"Faizuddin Ahmed","doi":"10.1134/S0202289321030026","DOIUrl":null,"url":null,"abstract":"<p>We solve the Klein–Gordon oscillator equation in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux in the presence of a non-electromagnetic (or scalar) potential in the Kaluza–Klein theory, and observe a gravitational analogue of the Aharonov–Bohm qeffect. We see that the energy eigenvalues and the eigenfunction depends on the global parameters characterizing the space-time. Also, a quantum effect is observed due to the dependence of the magnetic field on the quantum numbers of the system.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"27 3","pages":"292 - 301"},"PeriodicalIF":1.2000,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289321030026","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We solve the Klein–Gordon oscillator equation in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux in the presence of a non-electromagnetic (or scalar) potential in the Kaluza–Klein theory, and observe a gravitational analogue of the Aharonov–Bohm qeffect. We see that the energy eigenvalues and the eigenfunction depends on the global parameters characterizing the space-time. Also, a quantum effect is observed due to the dependence of the magnetic field on the quantum numbers of the system.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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