St¨uckelberg particle in external magnetic field. The method of projective operators-Reference-Cited by-同舟云学术

St¨uckelberg particle in external magnetic field. The method of projective operators

Published:2022-12-20 Issue:5 Volume:0 Page:69-78
ISSN:1994-5655
Container-title:Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
language:en
Short-container-title:

Author:

Ovsiyuk E.,Safronov A.,Ivashkevich A.,Semenyuk O.

Abstract

We study the St¨uckelberg equation for a relativistic particle with two spin states S = 1 and S = 0 in the presence of an external uniform magnetic field. The particle is described by an 11-component wave function consisting of a scalar, a vector, and an antisymmetric tensor. On the solutions of the equation, the operators of energy, the third projection of the total angular momentum, and the third projection of the linear momentum along the direction of the magnetic field are diagonalized. After separation of variables, a system for 11 radial functions is obtained. Its solution is based on the use of the Fedorov-Gronsky method, in which all 11 radial functions are expressed in terms of three main functions. Exact solutions with cylindrical symmetry are constructed. Three series of energy levels are found.

Publisher

Komi SC UB RAS

Subject

General Earth and Planetary Sciences,General Energy

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