Calculation of Matrix Elements in the Foldy-Wouthuysen Representation
General Physics
2010-03-29 v1
Abstract
The paper compares the methods used to calculate matrix elements of the operator of radail electron coordinates in an arbitrary order in the Foldy-Wouthuysen representation and with the use of the Dirac equation for 1s-states of the hydrogen-like and helium-like ions of transuranic elements. The obtained analytical and numerical results for 1s-states of the hydrogen-like and helium-like ions proves that the wave function reduction requirement is met with transformation to the Foldy-Wouthuysen representation and confirms that matrix elements can be calculated using only one component (either upper, or lower) of the Dirac bispinor wave function.
Keywords
Cite
@article{arxiv.1003.5138,
title = {Calculation of Matrix Elements in the Foldy-Wouthuysen Representation},
author = {V. P. Neznamov and A. A. Sadovoy and A. S. Ul'yanov},
journal= {arXiv preprint arXiv:1003.5138},
year = {2010}
}
Comments
13 pages