Foldy-Wouthuysen transformation for relativistic particles in external fields
Alexander J. Silenko

TL;DR
This paper introduces a method for performing the Foldy-Wouthuysen transformation on relativistic spin-1/2 particles in external fields, enabling precise Hamiltonian determination and analyzing interactions with electromagnetic and electroweak fields.
Contribution
It proposes a new approach to the Foldy-Wouthuysen transformation that achieves arbitrary accuracy for relativistic particles in external fields.
Findings
Hamiltonian can be determined with any desired accuracy.
Interactions with nonstationary electromagnetic and electroweak fields are analyzed.
Method enhances understanding of relativistic particle behavior in external fields.
Abstract
A method of Foldy-Wouthuysen transformation for relativistic spin-1/2 particles in external fields is proposed. It permits determination of the Hamilton operator in the Foldy-Wouthuysen representation with any accuracy. Interactions between a particle having an anomalous magnetic moment and nonstationary electromagnetic and electroweak fields are investigated.
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