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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 226, Pages 54–60 (Mi into1201)

On the application of generalized Bers powers for constructing solutions to the Dirac equation for the motion of a particle in a centrally symmetric field of a nucleus

Yu. A. Gladyshev, E. A. Loshkareva

Tsiolkovsky Kaluga State University

Abstract: In this paper, we demonstrate an application of the method of generalized powers for constructing solutions to the Dirac equation of quantum electrodynamics, which governs the motion of an electron in a centrally symmetric electrostatic field.

Keywords: generalized power, Dirac equation, quantum electrodynamics.

UDC: 517.9

MSC: 34B05, 81V10

DOI: 10.36535/0233-6723-2023-226-54-60



© Steklov Math. Inst. of RAS, 2024