{"title":"Position dependent mass (PDM) Klein–Gordon scalar particles in Bonnor-Melvin-Lambda space-time","authors":"Faizuddin Ahmed, Abdelmalek Bouzenada","doi":"10.1140/epjp/s13360-024-05706-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate Klein–Gordon scalar particles featuring a position-dependent mass within the framework of a cosmological space-time, specifically a four-dimensional Bonnor-Melvin magnetic solution incorporating a cosmological constant. The radial wave equation for the scalar multiplier <span>\\(m=m(r)\\)</span> is derived utilizing an appropriate wave function ansatz. We proceed to solve this radial equation for three distinct scalar multipliers: (i) <span>\\(m(r)=m_0\\,e^{\\frac{1}{2}\\,\\beta \\,r^2}\\)</span>, (ii) <span>\\(m(r) \\propto r^{\\alpha }\\)</span>, and (iii) <span>\\(m(r)=m_0\\,e^{\\xi \\,r}\\)</span>, where <span>\\(\\alpha \\ge 0, \\beta \\ge 0, \\xi \\ge 0\\)</span>. The resulting energy levels and wave functions for spin-0 scalar particles are shown to be influenced by the cosmological constant and the geometrical topology generating an angular deficit. Furthermore, we observe modifications in the energy levels compared to the Landau levels obtained in a flat space, highlighting the intricate interplay between position-dependent mass, cosmological factors, and the underlying space-time topology.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05706-x","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate Klein–Gordon scalar particles featuring a position-dependent mass within the framework of a cosmological space-time, specifically a four-dimensional Bonnor-Melvin magnetic solution incorporating a cosmological constant. The radial wave equation for the scalar multiplier \(m=m(r)\) is derived utilizing an appropriate wave function ansatz. We proceed to solve this radial equation for three distinct scalar multipliers: (i) \(m(r)=m_0\,e^{\frac{1}{2}\,\beta \,r^2}\), (ii) \(m(r) \propto r^{\alpha }\), and (iii) \(m(r)=m_0\,e^{\xi \,r}\), where \(\alpha \ge 0, \beta \ge 0, \xi \ge 0\). The resulting energy levels and wave functions for spin-0 scalar particles are shown to be influenced by the cosmological constant and the geometrical topology generating an angular deficit. Furthermore, we observe modifications in the energy levels compared to the Landau levels obtained in a flat space, highlighting the intricate interplay between position-dependent mass, cosmological factors, and the underlying space-time topology.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
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