Fethi Madouri, Abdullah Bnyah Alanzi, Abdeldjalil Merdaci
{"title":"广义莫尔斯势和磁场中质量和磁动量随位置变化的粒子的保利-薛定谔方程的精确解","authors":"Fethi Madouri, Abdullah Bnyah Alanzi, Abdeldjalil Merdaci","doi":"10.1515/zna-2024-0021","DOIUrl":null,"url":null,"abstract":"The Pauli–Schrodinger equation for a non-relativistic position dependent mass with spin 1/2 and magnetic momentum <jats:italic>μ</jats:italic> <jats:sub>0</jats:sub> in a generalized Morse potential and permanent magnetic field is solved using the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically. It is also shown that the results established in a previous work appear to be a special case.","PeriodicalId":23871,"journal":{"name":"Zeitschrift für Naturforschung A","volume":"55 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field\",\"authors\":\"Fethi Madouri, Abdullah Bnyah Alanzi, Abdeldjalil Merdaci\",\"doi\":\"10.1515/zna-2024-0021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Pauli–Schrodinger equation for a non-relativistic position dependent mass with spin 1/2 and magnetic momentum <jats:italic>μ</jats:italic> <jats:sub>0</jats:sub> in a generalized Morse potential and permanent magnetic field is solved using the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically. It is also shown that the results established in a previous work appear to be a special case.\",\"PeriodicalId\":23871,\"journal\":{\"name\":\"Zeitschrift für Naturforschung A\",\"volume\":\"55 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zeitschrift für Naturforschung A\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/zna-2024-0021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeitschrift für Naturforschung A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/zna-2024-0021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field
The Pauli–Schrodinger equation for a non-relativistic position dependent mass with spin 1/2 and magnetic momentum μ0 in a generalized Morse potential and permanent magnetic field is solved using the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically. It is also shown that the results established in a previous work appear to be a special case.
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