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Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials
Few-Body Systems ( IF 1.6 ) Pub Date : 2024-04-10 , DOI: 10.1007/s00601-024-01920-6
Amal Ladjeroud , Badredine Boudjedaa

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.



中文翻译:

广义康奈尔薛定谔方程加一些指数势的近似解

对于一些拟精确可解的中心势,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。径向方程转化为双汇合Heun方程。能量值是明确获得的。对于给定的参数值,建立了薛定谔方程的近似特征解。

更新日期:2024-04-12
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