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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3268592· OSTI ID:21294519
 [1];  [2]
  1. Russian Federal Nuclear Center-The All-Russian Research Institute of Experimental Physics, Sarov 607190 (Russian Federation)
  2. Research Institute of Nuclear Problems, Belarusian State University, Minsk 220030 (Belarus)

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 proven. The connection between wave functions in the two representations is derived. The results obtained allow calculating expectation values of operators corresponding to main classical quantities.

OSTI ID:
21294519
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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