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Classical inverse scattering in one dimension

 

作者: John C. Lazenby,   David J. Griffiths,  

 

期刊: American Journal of Physics  （AIP Available online 1980）
卷期: Volume 48, issue 6  

页码: 432-436

 

ISSN:0002-9505

 

年代: 1980

 

DOI:10.1119/1.11998

 

出版商: American Association of Physics Teachers

 

关键词: SCATTERING;INVERSE SCATTERING PROBLEM;LAPLACE TRANSFORMATIONS;CANONICAL TRANSFORMATIONS;MATHEMATICS;POTENTIALS;PARTICLES;CLASSICAL MECHANICS

 

数据来源: AIP

 

摘要:

A particle constrained to move in one dimension encounters a potentialV(x) on the interval 0?x?L. Question: canV(x) be deduced from a knowledge of the transit time as a function of energy? The answer is no, although a unique ’’canonical’’ potential is determined, and we show how to find it.

 

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