Series solution for the Schrõdinger equation with a long-range spherically symmetric potential

2002 ◽  
Vol 458 (2022) ◽  
pp. 1285-1290 ◽  
Author(s):  
Chang Lin ◽  
Chen-Wei Wang ◽  
Xiu-Lian Zhang
Keyword(s):  
Schrödinger Equation ◽  
Long Range ◽  
Schrodinger Equation ◽  
Series Solution ◽  
Spherically Symmetric ◽  
Symmetric Potential

EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH SPHERICALLY SYMMETRIC OCTIC POTENTIAL

2012 ◽  
Vol 27 (20) ◽  
pp. 1250112 ◽  
Author(s):  
DAVIDS AGBOOLA ◽  
YAO-ZHONG ZHANG
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Closed Form ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Spherically Symmetric ◽  
Algebraic Equations ◽  
Potential Parameters

We present exact solutions of the Schrödinger equation with spherically symmetric octic potential. We give closed-form expressions for the energies and the wave functions as well as the allowed values of the potential parameters in terms of a set of algebraic equations.

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