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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 2, Pages 171–192
DOI: https://doi.org/10.4213/tmf6632 (Mi tmf6632) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Generalized Foldy–Wouthuysen transformation and pseudodifferential operators

J. Brüninga, V. V. Grushinbc, S. Yu. Dobrokhotovbd, T. Ya. Tudorovskiie

a Humboldt University, Berlin, Germany
b Moscow Institute for Physics and Technology, Moscow, Russia
c Moscow State Institute for Electronics and Mathematics, Moscow, Russia
d Ishlinskii Institute for Problems in Mechanics, RAS, Moscow, Russia
e Institute for Molecules and Materials Radboud, University of Nijmegen, Nijmegen, The~Netherlands
Full-text PDF (557 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf6632
Abstract: We show that the Foldy–Wouthuysen transformation and its generalizations are simplified if the methods of pseudodifferential operators are used, which also allow estimating the exactness of the transition from the Dirac equation to the reduced equations for electrons and positrons. The methods and techniques used can be useful not only in studying asymptotic solutions of the Dirac equation but also in other problems.
Keywords: Dirac equation, Foldy–Wouthuysen transformation, adiabatic approximation, pseudodifferential operator.
Received: 16.11.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 2, Pages 547–566
DOI: https://doi.org/10.1007/s11232-011-0041-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. Brüning, V. V. Grushin, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Generalized Foldy–Wouthuysen transformation and pseudodifferential operators”, TMF, 167:2 (2011), 171–192; Theoret. and Math. Phys., 167:2 (2011), 547–566
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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