The Foldy-Wouthuysen transformation with Dirac matrices in the chiral representation: closed expressions for energy operators of fermions moving in electrostatic fields
V.P.Neznamov
TL;DR
This paper derives closed-form expressions for energy operators of fermions in electrostatic fields using the Foldy-Wouthuysen transformation with Dirac matrices in the chiral representation, linking it to the Feynman-Gell-Mann representation.
Contribution
It provides new closed-form formulas for energy operators in the Foldy-Wouthuysen representation, enhancing understanding of fermions in electrostatic fields.
Findings
Closed expressions for energy operators derived.
Connection established between Foldy-Wouthuysen and Feynman-Gell-Mann representations.
Improved analytical tools for fermion energy analysis.
Abstract
In this paper, we obtain the closed expressions for energy operators in the Foldy-Wouthuysen representation in the presence of electrostatic fields. We also establish the connection between the Foldy-Wouthuysen representation and the Feynman-Gell-Mann representation.
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