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Levinson's Theorem (an Elementary Derivation)

 

作者: Marcel Wellner,  

 

期刊: American Journal of Physics  (AIP Available online 1964)
卷期: Volume 32, issue 10  

页码: 787-789

 

ISSN:0002-9505

 

年代: 1964

 

DOI:10.1119/1.1969857

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

If a spherical potential admitsnbound states with a certain angular momentum, then Levinson's theorem states thatδ(O) − δ(∞) = nπ, whereδ(E)is the scattering phase shift (corresponding to that angular momentum) as a function of energy. This is shown here by means of elementary wave mechanics.

 

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