Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-04-10 DOI:10.1007/s00601-024-01920-6

Amal Ladjeroud, Badredine Boudjedaa

引用次数: 0

Abstract

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.

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广义康奈尔加一些指数势的薛定谔方程近似解

针对一些准精确可解的中心势，建立了薛定谔方程的近似解。每个势都是广义康奈尔势和指数势的总和。径向方程被转化为双流亨方程。能量值是明确得到的。对于给定的参数值，建立了薛定谔方程近似等效解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

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).