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Bound‐state models from Gelfand–Levitan theory

 

作者: James R. Klein,  

 

期刊: American Journal of Physics  （AIP Available online 1976）
卷期: Volume 44, issue 8  

页码: 754-758

 

ISSN:0002-9505

 

年代: 1976

 

DOI:10.1119/1.10125

 

出版商: American Association of Physics Teachers

 

关键词: QUANTUM MECHANICS;SCHROEDINGER EQUATION;BOUND STATE;INVERSE SCATTERING PROBLEM;ANGULAR MOMENTUM;WAVE FUNCTIONS

 

数据来源: AIP

 

摘要:

The Gelfand–Levitan formulation of the inverse problem is briefly reviewed and then used as a source of exactly solvable bound‐state models which are suitable for examples in quantum mechanics courses. The case of one bound state is discussed in detail with emphasis on the role of the arbitrary normalization constant and its connection with physical parameters. An application to the deuteron is given. Possible pedagogical uses of these models are cited.

 

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