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An analytical example of renormalization in two‐dimensional quantum mechanics

 

作者: Lawrence R. Mead,   John Godines,  

 

期刊: American Journal of Physics  (AIP Available online 1991)
卷期: Volume 59, issue 10  

页码: 935-937

 

ISSN:0002-9505

 

年代: 1991

 

DOI:10.1119/1.16675

 

出版商: American Association of Physics Teachers

 

关键词: QUANTUM MECHANICS;RENORMALIZATION;TWO−DIMENSIONAL CALCULATIONS;POTENTIAL SCATTERING;DELTA FUNCTION

 

数据来源: AIP

 

摘要:

As a concrete example of the idea of renormalization, quantum mechanical scattering of particles by a two‐dimensional delta‐function potential is considered. The renormalization of the scattering cross section is carried out exactly and analytically. The calculation, free from obscuring mathematical details required for realistic field theories, may aid in making the idea of renormalization more accessible.

 

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