{"title":"广义康奈尔加一些指数势的薛定谔方程近似解","authors":"Amal Ladjeroud, Badredine Boudjedaa","doi":"10.1007/s00601-024-01920-6","DOIUrl":null,"url":null,"abstract":"<div><p>Approximate solutions of Schrödinger equation are established, for some quasi-exactly solvable central potentials. Each potential is a sum of the generalized Cornell and an exponential potential. The radial equation is turned to the biconfluent Heun equation. The energy values are obtained explicitly. For given values of the parameters Schrödinger equation approximate eigensolutions are established.\n</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials\",\"authors\":\"Amal Ladjeroud, Badredine Boudjedaa\",\"doi\":\"10.1007/s00601-024-01920-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Approximate solutions of Schrödinger equation are established, for some quasi-exactly solvable central potentials. Each potential is a sum of the generalized Cornell and an exponential potential. The radial equation is turned to the biconfluent Heun equation. The energy values are obtained explicitly. For given values of the parameters Schrödinger equation approximate eigensolutions are established.\\n</p></div>\",\"PeriodicalId\":556,\"journal\":{\"name\":\"Few-Body Systems\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-04-10\",\"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/s00601-024-01920-6\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-024-01920-6","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}
Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials
Approximate solutions of Schrödinger equation are established, for some quasi-exactly solvable central potentials. Each potential is a sum of the generalized Cornell and an exponential potential. The radial equation is turned to the biconfluent Heun equation. The energy values are obtained explicitly. For given values of the parameters Schrödinger equation approximate eigensolutions are established.
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).