Abstract
A method is developed for solving relativistic wave equations for the Hamiltonian in the Foldy—Wouthuysen representation. These equations are recast into a quadratic form, whereby we get rid of square roots of operators. Applications of the method are exemplified by considering the interaction of a particle with a field characterized by a harmonic potential.
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Translated from Yadernaya Fizika, Vol. 64, No. 5, 2001, pp. 1048–1053.
Original Russian Text Copyright © 2001 by Silenko.
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Silenko, A.J. Transformation of operator equations describing the interaction of relativistric particles with an electric field. Phys. Atom. Nuclei 64, 977–982 (2001). https://doi.org/10.1134/1.1378894
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DOI: https://doi.org/10.1134/1.1378894