洛伦兹对称破缺环境对广义相对论量子振子场的影响

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Canadian Journal of Physics Pub Date : 2022-12-13 DOI:10.1139/cjp-2022-0173

F. Ahmed

{"title":"洛伦兹对称破缺环境对广义相对论量子振子场的影响","authors":"F. Ahmed","doi":"10.1139/cjp-2022-0173","DOIUrl":null,"url":null,"abstract":"In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field (KF)µναβ out of the Standard Model Extension (SME). We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field that contributes a harmonic-type central potential in the relativistic quantum motions of scalar oscillator fields. The bound-states solutions of the wave equation using the parametric Nikiforov-Uvarov method by considering a Coulomband Cornell-type potential form functions are obtained. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels (without Lorentz-Violation effects in flat space)","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"155 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field\",\"authors\":\"F. Ahmed\",\"doi\":\"10.1139/cjp-2022-0173\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field (KF)µναβ out of the Standard Model Extension (SME). We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field that contributes a harmonic-type central potential in the relativistic quantum motions of scalar oscillator fields. The bound-states solutions of the wave equation using the parametric Nikiforov-Uvarov method by considering a Coulomband Cornell-type potential form functions are obtained. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels (without Lorentz-Violation effects in flat space)\",\"PeriodicalId\":9413,\"journal\":{\"name\":\"Canadian Journal of Physics\",\"volume\":\"155 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Canadian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1139/cjp-2022-0173\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1139/cjp-2022-0173","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

摘要

本文研究了标准模型扩展(SME)中张量场(KF) μ ναβ所定义的洛伦兹对称违逆作用下的广义Klein-Gordon振子方程。在标量振子场的相对论量子运动中，我们考虑了一种可能的洛伦兹违反效应，即在康奈尔型电场和线性磁场中产生谐波型中心势。采用参数化Nikiforov-Uvarov方法，考虑了库仑带cornell型势能形式函数，得到了波动方程的边界态解。我们看到，与朗道能级相比，特征值解受到洛伦兹对称破缺效应的修改(在平坦空间中没有洛伦兹破缺效应)

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field

In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field (KF)µναβ out of the Standard Model Extension (SME). We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field that contributes a harmonic-type central potential in the relativistic quantum motions of scalar oscillator fields. The bound-states solutions of the wave equation using the parametric Nikiforov-Uvarov method by considering a Coulomband Cornell-type potential form functions are obtained. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels (without Lorentz-Violation effects in flat space)

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Canadian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

1.7 months

期刊介绍： The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.