10 April 2007 Path integral representation of the evolution operator for the Dirac equation
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Proceedings Volume 6597, Nanodesign, Technology, and Computer Simulations; 659703 (2007) https://doi.org/10.1117/12.726706
Event: Nanodesign, Technology, and Computer Simulations, 2006, Olsztyn, Poland
Abstract
A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original representation of the path integral in the electron phase space. This regularization allows one to obtain a representation of the path integral over trajectories in the configuration space. This form of the path integral is useful for the formulation of perturbation theory in an external electromagnetic field.
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Alexander S. Lukyanenko, Alexander S. Lukyanenko, Inna A. Lukyanenko, Inna A. Lukyanenko, } "Path integral representation of the evolution operator for the Dirac equation", Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659703 (10 April 2007); doi: 10.1117/12.726706; https://doi.org/10.1117/12.726706
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