Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations

Details Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations

2009-06-11

arxiv.org/abs/0906.2069v1

J.Math.Phys.50:122302,2009

Physics

Mathematical Physics

21 pages

Scientific paper

10.1063/1.3268592

The block-diagonalization of the Hamiltonian is not sufficient for the transformation to the Foldy-Wouthuysen (FW) representation. The conditions enabling the transition from the Dirac representation to the FW one are formulated and proved. The connection between wave functions in the two representations is derived. The results obtained allows calculating expectation values of operators corresponding to main classical quantities.

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