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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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexander S. Lukyanenko and 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); https://doi.org/10.1117/12.726706
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