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Alternate formulation of electron–photon interactions in relativistic quantum mechanics

 

作者: K. H. Ruei,  

 

期刊: American Journal of Physics  (AIP Available online 1976)
卷期: Volume 44, issue 2  

页码: 153-157

 

ISSN:0002-9505

 

年代: 1976

 

DOI:10.1119/1.10589

 

出版商: American Association of Physics Teachers

 

关键词: COMPTON EFFECT;WAVE FUNCTIONS;DIRAC EQUATION;QUANTUM ELECTRODYNAMICS;ANNIHILATION;QUANTUM MECHANICS;PHOTON−ELECTRON INTERACTIONS;S MATRIX;GREEN FUNCTION

 

数据来源: AIP

 

摘要:

In this paper, we develop an alternate formulation of the electron–photon interaction in the framework of ordinary relativistic quantum mechanics (without second quantization). We use the Dirac equation of motion to recast the current density in a form linear in the photon wave function. This enables us to take the photon as the system and, regarding the electron as an ’’external field,’’ to iterate the photon wave equation by the standard method. In particular, we deduce the second‐order matrix elements of Compton scattering, pair annihilation, and pair creation. The results so obtained are, of course, identical with those of the usual formulation, where the electron is taken as the system and the radiation is treated as the external field. The present approach complements the usual one; together, the two approaches reveal the symmetry of quantum electrodynamics under interchange of source and field.

 

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