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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 161–169
DOI: https://doi.org/10.4213/tmf1036
(Mi tmf1036)
 

This article is cited in 15 scientific papers (total in 15 papers)

Foldy–Wouthuysen representation in standard model of electroweak interaction

A. Ya. Silenko

Belarusian State University
References:
Abstract: The Hamiltonian operator in the Foldy–Wouthuysen representation describing the electroweak interaction of relativistic spin-$1/2$ particles in the standard model is obtained. The weak interaction caused by neutral currents is studied. The operator equation describing the particle spin motion in electroweak field is found. The parity nonconservation in heavy atoms is considered.
Received: 07.08.1996
Revised: 24.12.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 922–928
DOI: https://doi.org/10.1007/BF02634108
Bibliographic databases:
Language: Russian
Citation: A. Ya. Silenko, “Foldy–Wouthuysen representation in standard model of electroweak interaction”, TMF, 112:1 (1997), 161–169; Theoret. and Math. Phys., 112:1 (1997), 922–928
Citation in format AMSBIB
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\by A.~Ya.~Silenko
\paper Foldy--Wouthuysen representation in standard model of electroweak interaction
\jour TMF
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\vol 112
\issue 1
\pages 161--169
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\crossref{https://doi.org/10.4213/tmf1036}
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 1
\pages 922--928
\crossref{https://doi.org/10.1007/BF02634108}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YD92400012}
Linking options:
  • https://www.mathnet.ru/eng/tmf1036
  • https://doi.org/10.4213/tmf1036
  • https://www.mathnet.ru/eng/tmf/v112/i1/p161
  • This publication is cited in the following 15 articles:
    1. Alexander J. Silenko, “Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian”, Phys. Rev. A, 111:3 (2025)  crossref
    2. Silenko A.J., “Hermiticity and Self-Adjointness in Quantum Mechanics”, Nonlinear Phenom. Complex Syst., 24:1 (2021), 84–94  crossref  isi
    3. Zou L. Zhang P. Silenko A.J., “Position and Spin in Relativistic Quantum Mechanics”, Phys. Rev. A, 101:3 (2020), 032117  crossref  isi
    4. Guo Y., Liang H., “Non-Relativistic Expansion of Single-Nucleon Dirac Equation: Comparison Between Foldy-Wouthuysen Transformation Andsimilarity Renormalization Group”, Chin. Phys. C, 43:11 (2019), 114105  crossref  isi
    5. Silenko A.J., “Relativistic Quantum Mechanics of a Proca Particle in Riemannian Spacetimes”, Phys. Rev. D, 98:2 (2018), 025014  crossref  mathscinet  isi  scopus
    6. Silenko A.J. Teryaev O.V., “Phenomenological Description of Relativistic-Quark Interaction on the Basis of the Dirac Equation With the Cornell Potential”, Phys. Atom. Nuclei, 80:5 (2017), 976–982  crossref  isi  scopus  scopus  scopus
    7. Silenko A.J. Teryaev O.V., “Phenomenological Description of Spin Effects in Electromagnetic and Strong Interactions of Quarks”, Xxiii International Baldin Seminar on High Energy Physics Problems Relativistic Nuclear Physics and Quantum Chromodynamics (Baldin Ishepp Xxiii), Epj Web of Conferences, 138, ed. Bondarenko S. Burov V. Malakhov A., E D P Sciences, 2017, UNSP 08002  crossref  isi  scopus  scopus  scopus
    8. Silenko A.J., “General Properties of the Foldy-Wouthuysen Transformation and Applicability of the Corrected Original Foldy-Wouthuysen Method”, Phys. Rev. A, 93:2 (2016), 022108  crossref  adsnasa  isi  scopus  scopus  scopus
    9. Hagelstein P.L., “Quantum Composites: a Review, and New Results For Models For Condensed Matter Nuclear Science”, J. Condens. Matter Nucl. Sci., 20 (2016), 139–225  isi
    10. Silenko A.J., “Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle”, Phys. Rev. A, 94:3 (2016), 032104  crossref  isi  elib  scopus
    11. Silenko A.J., “General Method of the Relativistic Foldy-Wouthuysen Transformation and Proof of Validity of the Foldy-Wouthuysen Hamiltonian”, Phys. Rev. A, 91:2 (2015), 022103  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    12. A. Ya. Silenko, “Comparative analysis of direct and “step-by-step” Foldy–Wouthuysen transformation methods”, Theoret. and Math. Phys., 176:2 (2013), 987–999  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    13. Silenko, AJ, “Foldy-Wouthuysen transformation for relativistic particles in external fields”, Journal of Mathematical Physics, 44:7 (2003), 2952  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    14. Silenko, AY, “The motion of particle spin in a nonuniform electromagnetic field”, Journal of Experimental and Theoretical Physics, 96:5 (2003), 775  crossref  adsnasa  isi  scopus  scopus  scopus
    15. Silenko, AJ, “Motion of the spin of particles and nuclei of arbitrary spin in the electric field of crystals”, Physics of Atomic Nuclei, 64:5 (2001), 983  crossref  adsnasa  isi  scopus  scopus  scopus
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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