RSS feeds
РусскийEnglish
Issue 5, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2007

 / 

January

←  →

Methodological notes


On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

An account is given of the Wigner concept of particle spin and velocity rotations and of the variation of the angle between them under Lorentz transformations with noncollinear velocities. It is shown that Møller’s description of spin rotation can be reduced to the Wigner rotation, and Møller’s formula for the angle of spin rotation in the curvilinear motion of a particle is corrected. The permutation asymmetry of the relativistic velocity addition law distinguishes the Wigner sequence of Lorentzian boosts by its applicability to the description of spin and velocity rotations in curvilinear motion.

Fulltext pdf (180 KB)
Fulltext is also available at DOI: 10.1070/PU2007v050n01ABEH006302
PACS: 03.30.+p
DOI: 10.1070/PU2007v050n01ABEH006302
URL: https://ufn.ru/en/articles/2007/1/e/
000246449500005
2-s2.0-34249713540
2007PhyU...50...95R
Citation: Ritus V I "On the difference between Wigner's and Møller's approaches to the description of Thomas precession" Phys. Usp. 50 95–101 (2007)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Ритус В И «О различии подходов Вигнера и Мёллера к описанию прецессии Томаса» УФН 177 105–112 (2007); DOI: 10.3367/UFNr.0177.200701e.0105

References (10) Cited by (14) Similar articles (20) ↓

  1. V.I. Ritus “Permutation asymmetry of the relativistic velocity addition law and non-Euclidean geometry” 51 709–721 (2008)
  2. G.B. Malykin “The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body” 42 505–509 (1999)
  3. G.B. Malykin “The Sagnac effect: correct and incorrect explanations” 43 1229 (2000)
  4. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin” 52 821–829 (2009)
  5. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” 50 1217–1238 (2007)
  6. V.I. Ritus “Generalization of the k coefficient method in relativity to an arbitrary angle between the velocity of an observer (source) and the direction of the light ray from (to) a faraway source (observer) at rest” 63 601–610 (2020)
  7. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect” 41 941–944 (1998)
  8. V.I. Ritus “Lagrange equations of motion of particles and photons in the Schwarzschild field” 58 1118–1123 (2015)
  9. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics” 39 169–177 (1996)
  10. G.B. Malykin, V.I. Pozdnyakova “Geometric phases in singlemode fiber lightguides and fiber ring interferometers” 47 289–308 (2004)
  11. S.I. Blinnikov, L.B. Okun, M.I. Vysotskii “Critical velocities c/sqrt{3} and c/sqrt{2} in the general theory of relativity” 46 1099–1103 (2003)
  12. P.B. Ivanov “On relativistic motion of a pair of particles having opposite signs of masses” 55 1232–1238 (2012)
  13. G.B. Malykin “Sagnac effect in ring lasers and ring resonators. How does the refraction index of the optical medium influence the sensitivity to rotation?” 57 714–720 (2014)
  14. S.I. Syrovatskii “On the problem of the ’retardation’ of the relativistic contraction of moving bodies” 19 273–274 (1976)
  15. A.I. Musienko, L.I. Manevich “Classical mechanical analogs of relativistic effects” 47 797–820 (2004)
  16. V.B. Morozov “On the question of the electromagnetic momentum of a charged body” 54 371–374 (2011)
  17. X.-B. Huang “A rigorous minimum-assumption derivation of the Lorentz transformation” 54 529–532 (2011)
  18. V.A. Aleshkevich “On special relativity teaching using modern experimental data” 55 1214–1231 (2012)
  19. J. Gaite “The relativistic virial theorem and scale invariance” 56 919–931 (2013)
  20. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field” 52 937–943 (2009)

The list is formed automatically.
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions