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Chin. Phys. B, 2016, Vol. 25(5): 050303    DOI: 10.1088/1674-1056/25/5/050303
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Path integral approach to electron scattering in classical electromagnetic potential

Chuang Xu(许闯), Feng Feng(冯锋), Ying-Jun Li(李英骏)
School of Science, China University of Mining and Technology, Beijing 100083, China
Abstract  As is known to all, the electron scattering in classical electromagnetic potential is one of the most widespread applications of quantum theory. Nevertheless, many discussions about electron scattering are based upon single-particle Schrodinger equation or Dirac equation in quantum mechanics rather than the method of quantum field theory. In this paper, by using the path integral approach of quantum field theory, we perturbatively evaluate the scattering amplitude up to the second order for the electron scattering by the classical electromagnetic potential. The results we derive are convenient to apply to all sorts of potential forms. Furthermore, by means of the obtained results, we give explicit calculations for the one-dimensional electric potential.
Keywords:  electron scattering      path integral approach      quantum field theory  
Received:  23 August 2015      Revised:  18 December 2015      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  03.70.+k (Theory of quantized fields)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11374360, 11405266, and 11505285) and the National Basic Research Program of China (Grant No. 2013CBA01504).
Corresponding Authors:  Chuang Xu, Ying-Jun Li     E-mail:;

Cite this article: 

Chuang Xu(许闯), Feng Feng(冯锋), Ying-Jun Li(李英骏) Path integral approach to electron scattering in classical electromagnetic potential 2016 Chin. Phys. B 25 050303

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