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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 2, Pages 189–204
DOI: https://doi.org/10.4213/tmf8468 (Mi tmf8468) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Comparative analysis of direct and "step-by-step" Foldy–Wouthuysen transformation methods

A. Ya. Silenko

Institute for Nuclear Problems, Belarusian State University, Minsk, Belarus
Full-text PDF (450 kB) Citations (41)
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DOI: https://doi.org/10.4213/tmf8468
Abstract: Relativistic methods for the Foldy–Wouthuysen transformation of the “step-by-step” type already at the first step give an expression for the Hamilton operator not coinciding with the exact result determined by the Eriksen method. The methods agree for the zeroth and first orders in the Planck constant terms but do not agree for the second and higher-order terms. We analyze the benefits and drawbacks of various methods and establish their applicability boundaries.
Keywords: Foldy–Wouthuysen transformation, unitary transformation, relativistic quantum mechanics.
Received: 09.01.2013
Revised: 17.03.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 2, Pages 987–999
DOI: https://doi.org/10.1007/s11232-013-0086-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Ya. Silenko, “Comparative analysis of direct and "step-by-step" Foldy–Wouthuysen transformation methods”, TMF, 176:2 (2013), 189–204; Theoret. and Math. Phys., 176:2 (2013), 987–999
Citation in format AMSBIB
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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