G. B. Malykin, “Thomas precession: correct and incorrect solutions”, UFN, 176:8 (2006), 865–882; Phys. Usp., 49:8 (2006), 837

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Uspekhi Fizicheskikh Nauk, 2006, Volume 176, Number 8, Pages 865–882
DOI: https://doi.org/10.3367/UFNr.0176.200608f.0865 (Mi ufn356)

This article is cited in 47 scientific papers (total in 48 papers)

FROM THE HISTORY OF PHYSICS

Thomas precession: correct and incorrect solutions

G. B. Malykin

Institute of Applied Physics, Russian Academy of Sciences

Full-text PDF (3948 kB) Citations (48)

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DOI: https://doi.org/10.3367/UFNr.0176.200608f.0865

Abstract: A wealth of different expressions for the frequency of the Thomas precession (TP) can be found in the literature, with the consequence that this issue has been discussed over a long period of time. It is shown that the correct result was obtained in the works of several authors, which were published more than forty years ago but remained unnoticed against the background of numerous erroneous works. Several TP-related physical paradoxes formulated primarily to disprove the special relativity theory are shown to be fallacious. Different techniques for deriving the correct expression are considered and the reasons for the emergence of the main incorrect expressions for the TP frequency are analyzed.

Received: August 23, 2005
Revised: May 16, 2006

English version:
Physics–Uspekhi, 2006, Volume 49, Issue 8, Pages 837–853
DOI: https://doi.org/10.1070/PU2006v049n08ABEH005870

Bibliographic databases:

Document Type: Popular science or education materials

PACS: 01.65.+g, 03.30.+p, 03.65.Vf

Language: Russian

Citation: G. B. Malykin, “Thomas precession: correct and incorrect solutions”, UFN, 176:8 (2006), 865–882; Phys. Usp., 49:8 (2006), 837–853

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This publication is cited in the following 48 articles:

Veiko Palge, Christian Pfeifer, “Thomas-Wigner rotation as a holonomy for spin- 1/2 particles”, Phys. Rev. A, 109:3 (2024)
Alexander L. Kholmetskii, Oleg V. Missevitch, Tolga Yarman, ““Tracking rule” and generalization of special relativity”, Can. J. Phys., 102:1 (2024), 43
M.A. Aginian, S.G. Arutunian, E.G. Lazareva, M. Chung, “Electric field lines of charged particle in a helical undulator”, J. Inst., 19:05 (2024), C05023
A. Sfarti, “Erratum: QED-based derivation of the general forms of the relativistic Doppler effect and of the relativistic aberration for uniformly rotating frames and for uniformly accelerated frames”, Mod. Phys. Lett. A, 38:10n11 (2023)
S. G. Arutunian, M. A. Aginian, A. V. Margaryan, M. Chung, E. G. Lazareva, “Electric field lines of an arbitrarily moving charged particle”, American Journal of Physics, 91:11 (2023), 913
S. G. Arutunian, M. A. Aginian, E. G. Lazareva, M. Chung, “Representation of the Electromagnetic Field of an Arbitrarily Moving Charged Particle by Electric Field Lines”, Opt. Mem. Neural Networks, 32:S3 (2023), S415
Danail Brezov, “On Complex Kinematics and Relativity”, Adv. Appl. Clifford Algebras, 32:3 (2022)
Aaron Z. Goldberg, Progress in Optics, 67, 2022, 185
Antonio Di Lorenzo, “Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation”, Sci Rep, 12:1 (2022)
V. F. Zhuravlev, “Problems of Experimental Verification of the Theory of General Relativity”, Mech. Solids, 57:7 (2022), 1657
A. Sfarti, “QED-based derivation of the general forms of the relativistic Doppler effect and of the relativistic aberration for uniformly rotating frames and for uniformly accelerated frames”, Mod. Phys. Lett. A, 37:37n38 (2022)
Berry T., Visser M., “Lorentz Boosts and Wigner Rotations: Self-Adjoint Complexified Quaternions”, Physics, 3:2 (2021), 352–366
V. V. Voitik, N. G. Migranov, “Preobrazovanie affinnoi skorosti i ego primenenie dlya vraschayuschegosya diska”, Chelyab. fiz.-matem. zhurn., 5:4(1) (2020), 428–450
Dingel B.B., Buenaventura A., Chua A.R., Libatique N.J.C., “Thin Film-Based Gires-Tournois Resonator (Gtr) as Quasi-Optical Analogue of the Thomas Rotation Angle Effect in Special Relativity”, Opt. Commun., 454 (2020), UNSP 124510
Kholmetskii A.L., Yarman T., “The Relativistic Mechanism of the Thomas-Wigner Rotation and Thomas Precession”, Eur. J. Phys., 41:5 (2020), 055601
Kharinov M., “The Quartet of Eigenvectors For Quaternionic Lorentz Transformation”, Adv. Appl. Clifford Algebr., 30:2 (2020), 25
Kholmetskii A., Missevitch O., Yarman T., Arik M., “Thomas Precession and Thomas-Wigner Rotation: Correct Solutions and Their Implications”, EPL, 129:3 (2020), 30006
Berry T., Visser M., “Relativistic Combination of Non-Collinear 3-Velocities Using Quaternions”, Universe, 6:12 (2020), 237
N. A. Poklonski, A. N. Dzeraviaha, S. A. Vyrko, “Localization by an external magnetic field of electrons on the ions of hydrogen-like donors in non-degenerate semiconductors”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 56:2 (2020), 239
B. M. Bolotovskii, G. B. Malykin, “Visible shape of moving bodies”, Phys. Usp., 62:10 (2019), 1012–1030

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

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