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arxiv: 0906.2069 · v1 · submitted 2009-06-11 · 🧮 math-ph · math.MP

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

V.P. Neznamov , A.J. Silenko This is my paper
classification 🧮 math-ph math.MP
keywords conditionsdiracfoldy-wouthuysenfunctionsrepresentationrepresentationstransformationwave
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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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