Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications-Reference-Cited by-同舟云学术

Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications

Published:2022-06-30 Issue:2 Volume:25 Page:136-158
ISSN:1817-2458
Container-title:Nonlinear Phenomena in Complex Systems
language:en
Short-container-title:

Author:

E. M. Ovsiyuk¹,N. G. Krylova²,V. Balan³,V. M. Red’kov⁴

Affiliation:

1. Mozyr State Pedagogical University named after I. P. Shamyakin

2. Belarusian State Agrarian Technical University

3. University Politehnica of Bucharest

4. B. I. Stepanov Institute of Physics of NAS of Belarus

Abstract

The paper studies the general Pauli-like equation for a Dirac fermions doublet on the background of an external non-Abelian monopole field. The variables separation has been fulfilled, the non-relativistic approximation for the radial systems has been derived. For the case of a minimal value of the conserved quantum number j = 0, the Pauli equation has been obtained in the form of one second-order differential equation. In the case j > 0, the problem has been reduced to the system of two coupled second order equations. In Bogomol'nyi-Prasad-Sommerfeld approximation, this system of equations has been solved in terms of hypergeometric functions.

Publisher

Belarusian State University

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference41 articles.

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