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Elementary approach to separable potentials of exponential form

 

作者: Jeff Chalk,  

 

期刊: American Journal of Physics  （AIP Available online 1981）
卷期: Volume 49, issue 11  

页码: 1069-1071

 

ISSN:0002-9505

 

年代: 1981

 

DOI:10.1119/1.12646

 

出版商: American Association of Physics Teachers

 

关键词: BOUND STATE;SCATTERING;SCATTERING AMPLITUDES;DIFFERENTIAL EQUATIONS;S WAVES;SCHROEDINGER EQUATION;YAMAGUCHI POTENTIAL

 

数据来源: AIP

 

摘要:

By differentiating the radial equation with separable potentials of exponential form, a differential equation with constant coefficients is obtained. The Yamaguchi potential is used as the principal example in deriving bound‐state and scattering solutions in a simple approach that elucidates the correspondence between the poles of the scattering amplitude and the roots of the bound‐state problem.

 

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