Foldy-Wouthuysen Transformation for a Spinning Particle with Anomalous Magnetic Moment
A. Barducci, R. Giachetti, G. Pettini
TL;DR
This paper derives explicit Foldy-Wouthuysen transformations for spinning particles with anomalous magnetic moments in stationary electromagnetic fields, providing closed-form Hamiltonians for various particle types and field configurations.
Contribution
It presents a closed-form expression of the Foldy-Wouthuysen transformation for particles with anomalous magnetic moments in stationary fields, extending previous methods.
Findings
Explicit diagonalized Hamiltonians derived for neutral particles in electrostatic fields.
Closed-form transformations obtained for particles in magnetostatic fields.
Applicable to both neutral and charged particles with anomalous magnetic moments.
Abstract
We study the Foldy-Wouthuysen transformation for a pseudoclassical particle with anomalous magnetic moment in an external, stationary electromagnetic field. We show that the transformation can be expressed in a closed form for neutral particles in purely electrostatic fields and for neutral and charged particles in external magnetostatic fields. The explicit expressions of the diagonalized Hamiltonians are calculated.
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