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The approximation to the exponential decay law

 

作者: H. Jakobovits,   Yehuda Rothschild,   J. Levitan,  

 

期刊: American Journal of Physics  （AIP Available online 1995）
卷期: Volume 63, issue 5  

页码: 439-443

 

ISSN:0002-9505

 

年代: 1995

 

DOI:10.1119/1.18091

 

出版商: American Association of Physics Teachers

 

关键词: BREIT−WIGNER FORMULA;DECAY;QUANTUM MECHANICS;HAMILTONIANS;DISTRIBUTION FUNCTIONS;ELEMENTARY PARTICLES;ENERGY SPECTRA

 

数据来源: AIP

 

摘要:

The exponential decay law is a consequence of the choice of the ‘‘Breit–Wigner’’ energy distribution when the integration over the energy is extended from −∞ to +∞. We explain why the Breit–Wigner function is the natural choice and study by the method of steepest descent and by direct integration how an integration over the physically relevant positive energy spectrum affects the decay law.

 

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