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

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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

Full-text PDF (209 kB) Citations (15)

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DOI: https://doi.org/10.4213/tmf1036

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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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:

Alexander J. Silenko, “Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian”, Phys. Rev. A, 111:3 (2025)
Silenko A.J., “Hermiticity and Self-Adjointness in Quantum Mechanics”, Nonlinear Phenom. Complex Syst., 24:1 (2021), 84–94
Zou L. Zhang P. Silenko A.J., “Position and Spin in Relativistic Quantum Mechanics”, Phys. Rev. A, 101:3 (2020), 032117
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
Silenko A.J., “Relativistic Quantum Mechanics of a Proca Particle in Riemannian Spacetimes”, Phys. Rev. D, 98:2 (2018), 025014
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
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
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
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
Silenko A.J., “Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle”, Phys. Rev. A, 94:3 (2016), 032104
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
A. Ya. Silenko, “Comparative analysis of direct and “step-by-step” Foldy–Wouthuysen transformation methods”, Theoret. and Math. Phys., 176:2 (2013), 987–999
Silenko, AJ, “Foldy-Wouthuysen transformation for relativistic particles in external fields”, Journal of Mathematical Physics, 44:7 (2003), 2952
Silenko, AY, “The motion of particle spin in a nonuniform electromagnetic field”, Journal of Experimental and Theoretical Physics, 96:5 (2003), 775
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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