动量:QFT、量子黑洞和一些宇宙学意义

IF 0.3 Q4 PHYSICS, MULTIDISCIPLINARY
O. E. M., Krylova N. G., B. V., Red’kov V. M.
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引用次数: 0

摘要

本文研究了外部非阿贝尔单极子场背景下Dirac费米子二重态的一般泡利方程。实现了变量分离,导出了径向系统的非相对论近似。对于守恒量子数j=0的极小值的情况,已经以一个二阶微分方程的形式得到了泡利方程。在j>0的情况下,问题被简化为两个耦合的二阶方程组。在Bogomol'nyi-Pasad-Sommerfeld近似中,这个方程组已经用超几何函数求解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications
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.
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来源期刊
Nonlinear Phenomena in Complex Systems
Nonlinear Phenomena in Complex Systems PHYSICS, MULTIDISCIPLINARY-
CiteScore
0.90
自引率
25.00%
发文量
32
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