1303.5573 (Alexander J. Silenko)

Validation of the Eriksen Method of the Exact Foldy-Wouthuysen
Representation    [PDF]

Alexander J. Silenko

The Eriksen method is proven to yield a correct and exact result when a sufficient condition of exact transformation to the Foldy-Wouthuysen (FW) representation is satisfied. Therefore, the Eriksen method is confirmed as valid. This makes it possible to establish the limits within which the approximate "step-by-step" methods are applicable. The latter is done by comparing the relativistic formulas for a Hamiltonian operator in the FW representation (obtained using those methods) and the known expression for the first terms of a series, which defines the expansion of this operator in powers of v/c as found by applying the Eriksen method.

View original: http://arxiv.org/abs/1303.5573