Relativistic particle interaction with a weak electromagnetic field
L. F. Blazhyjevskii, A. Y. Marko
TL;DR
This paper derives Schrödinger equations for relativistic spin-1/2 and spinless particles in weak electromagnetic fields using the Foldy-Wouthuysen transformation, providing a simplified framework for such interactions.
Contribution
It introduces a method to derive Schrödinger equations for relativistic particles in weak fields using the Foldy-Wouthuysen transformation with charge as a small parameter.
Findings
Derived two-component Schrödinger equation for spin-1/2 particles
Obtained one-component Schrödinger equation for spinless particles
Applied Foldy-Wouthuysen transformation in the relativistic context
Abstract
Schrodinger equation with two-component wave function which describes a relativistic spin 1/2 particle in a weak electromagnetic field is obtained. In the same approximation Schrodinger equation with traditional norm condition and one-component wave function for a spinless particle is obtained as well. To construct it Foldy-Wouthuysen procedure with the electron charge value as the small parameter is used.
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Taxonomy
TopicsRelativity and Gravitational Theory · Pulsars and Gravitational Waves Research · Cosmology and Gravitation Theories