NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2016, Vol.19, No.4, pp.411 - 418


Exact Foldy-Wouthuysen Transformation and a Verification of Foldy-Wouthuysen Transformation Methods
Alexander J. Silenko

The exact Foldy-Wouthuysen transformation is considered. It can be successfully used for a verification of FW transformation methods for a particle with any spin. When a verified method is relativistic, the relativistic exponential operator should be expanded in a semirelativistic power series. The exact FW transformation can be fulfilled with the exponential and nonexponential FW transformation operators. Two examples of an application of the exact Foldy-Wouthuysen transformation are presented.

Key words: Foldy-Wouthuysen transformation, relativistic quantum mechanics

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