2014/10/17 by G. N. Borzdov, Borzdov, G. N.
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph
paper · pdf · doi:10.48550/arxiv.1410.4769
8 pages
openalex publication_date 2014/10/17 · arxiv created 2015/02/10 · arxiv updated 2015/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fundamental solution of the Dirac equation for an electron in an electromagnetic field with harmonic dependence on space-time coordinates is obtained. The field is composed of three standing plane harmonic waves with mutually orthogonal phase planes and the same frequency. Each standing wave consists of two eigenwaves with different complex amplitudes and opposite directions of propagation. The fundamental solution is obtained in the form of the projection operator defining the subspace of solutions to the Dirac equation.