{"title":"Pauli oscillator in \\((2+1)\\)-dimensional topologically charged Perry-Mann-type wormhole spacetime with disclinations","authors":"M. D. de Oliveira, Alexandre G. M. Schmidt","doi":"10.1007/s00601-025-02005-8","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the two-dimensional harmonic oscillator for a spin-1/2 particle using the Pauli equation in a <span>\\((2+1)\\)</span>-dimensional topologically charged Perry-Mann-type wormhole spacetime with cosmic string-type disclinations. The angular component of the Pauli spinor is a two-component plane wave. The radial differential equation includes relativistic corrections through spin-orbit coupling terms and the Darwin term. We derive the exact radial wave function expressed in terms of the Heun polynomial, along with the quantized energy levels and oscillation frequencies, incorporating corrections from spin-orbit coupling, the Darwin term, and topological effects in all cases. Furthermore, we investigate the effects of the cosmic string, global monopole, and spacetime curvature by graphically analyzing the eigenenergies and radial probability density.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-025-02005-8","RegionNum":4,"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
We investigate the two-dimensional harmonic oscillator for a spin-1/2 particle using the Pauli equation in a \((2+1)\)-dimensional topologically charged Perry-Mann-type wormhole spacetime with cosmic string-type disclinations. The angular component of the Pauli spinor is a two-component plane wave. The radial differential equation includes relativistic corrections through spin-orbit coupling terms and the Darwin term. We derive the exact radial wave function expressed in terms of the Heun polynomial, along with the quantized energy levels and oscillation frequencies, incorporating corrections from spin-orbit coupling, the Darwin term, and topological effects in all cases. Furthermore, we investigate the effects of the cosmic string, global monopole, and spacetime curvature by graphically analyzing the eigenenergies and radial probability density.
期刊介绍：
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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