COVARIANTIZATION OF CONDITIONS OF VANISHING THE CURRENT JZ FOR THE DIRAC FIELD AT THE BOUNDARIES OF THE DOMAIN BETWEEN TWO PLANES
Abstract
General conditions for vanishing the third projection of the current Jz for the Dirac field on two boundaries of the domain between two parallel planes are formulated in a covariant form which is valid for any basis of Dirac matrices. Produced relations contain four arbitrary phase parameters. Solutions of the Dirac equation with such properties of their current are of special interest in connection with investigation of the Casimir effect for Dirac field in the domain restricted by two planes.
About the Authors
O. V. VEKO
Мозырский государственный педагогический университет им. И. П. Шамякина
Belarus
Belarus
V. M. RED’KOV
Институт физики им. Б. И. Степанова НАН Беларуси, Минск
Belarus
Belarus
References
1. Мостепаненко В. М. // УФН. 1988. Т. 156, № 3. С. 385–426.
2. Veko O. V. // 21 International Seminar: Nonlinear Phenomena in Complex Systems. Minsk, May 20–23, 2014.
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