Validation of the Eriksen Method of the Exact Foldy-Wouthuysen Representation

Abstract

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.

7 pages

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Cited by in corpus (4)

• General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
• Position and spin in relativistic quantum mechanics
• Energy expectation values of a particle in nonstationary fields
• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian