Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
Mathematical Physics
2016-09-14 v2 math.MP
Abstract
The exact exponential Foldy-Wouthuysen transformation operator applicable for a particle with an arbitrary spin is derived. It can be successfully utilized for verifying any Foldy-Wouthuysen transformation method based on the exponential operator. When a verified method is relativistic, the relativistic exponential operator should be expanded in the semirelativistic power series. The use of the obtained exponential operator for a derivation of the Foldy-Wouthuysen Hamiltonian makes it possible to check the validity of any other method of the Foldy-Wouthuysen transformation, while this possibility may need a greater computational effort.
Keywords
Cite
@article{arxiv.1605.09755,
title = {Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle},
author = {Alexander J. Silenko},
journal= {arXiv preprint arXiv:1605.09755},
year = {2016}
}
Comments
14 pages, final version