Improved Analytical Approximations to the Scattering Solutions of the Schrdinger Equation with a Hyperbolical Potential

Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analyti...

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Bibliographic Details
Published in:理论物理通讯：英文版 2014 (9), p.315-319
Main Author: 尤源 陆法林 孙东升 陈昌远
Format: Article
Language:English
Subjects:
analytical
approximations
hyperbolic
potential
scattering
solutions
Online Access:Get full text
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Summary:Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analytical formula are compared with those obtained by using the numerical integration method in the scattering state cases. We find that this improved approximate formula is better than previous one since the calculated results are in good agreement with those exact ones.
ISSN:0253-6102