{"title":"D-dimensional Schrödinger equation with attractive radial potential and its thermal properties","authors":"Uduakobong S Okorie, Akpan N Ikot, Nuhu Ibrahim","doi":"10.1007/s12043-023-02571-8","DOIUrl":null,"url":null,"abstract":"<div><p>The <i>D</i>-dimensional Schrödinger equation with attractive radial potential (ARP) is solved using asymptotic iteration method, and its approximate solutions are obtained in closed form. The normalised wave function of the potential model was also determined using the hypergeometric Gauss differential equation. The variation of the energy eigenvalues of ARP with different potential parameters and quantum numbers were discussed for selected dimensions. In addition, the thermal property expressions for ARP were obtained in closed form, and their variations with temperature were discussed extensively for various values of dimension. Critical temperature values were seen to exist for specific heat capacity, at unique dimensions. Our results agree with those obtained in the literatures.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-023-02571-8","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
The D-dimensional Schrödinger equation with attractive radial potential (ARP) is solved using asymptotic iteration method, and its approximate solutions are obtained in closed form. The normalised wave function of the potential model was also determined using the hypergeometric Gauss differential equation. The variation of the energy eigenvalues of ARP with different potential parameters and quantum numbers were discussed for selected dimensions. In addition, the thermal property expressions for ARP were obtained in closed form, and their variations with temperature were discussed extensively for various values of dimension. Critical temperature values were seen to exist for specific heat capacity, at unique dimensions. Our results agree with those obtained in the literatures.
期刊介绍：
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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