RSS feeds
РусскийEnglish
Issue 10, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2017

 / 

June

←  →

Methodological notes


On the spin-statistics theorem


Herzen Russian State Pedagogical University, nab. r. Moiki 48, St. Petersburg, 191186, Russian Federation

The possibility of proving the theorem on the connection between spin and statistics in the nonrelativistic quantum mechanical framework is examined.

Fulltext pdf (387 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2017.02.038061
Keywords: identical particles, spin and statistics, the Pauli exclusion principle, irreducible representations of the rotation group, spinor fields
PACS: 02.20.−a, 03.65.−w, 31.15.xh (all)
DOI: 10.3367/UFNe.2017.02.038061
URL: https://ufn.ru/en/articles/2017/6/e/
000409222900005
2-s2.0-85029143865
2017PhyU...60..621T
Citation: Trifonov E D "On the spin-statistics theorem" Phys. Usp. 60 621–622 (2017)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 10th, February 2016, revised: 13th, January 2017, 1st, February 2017

Оригинал: Трифонов Е Д «К теореме о связи спина и статистики» УФН 187 667–668 (2017); DOI: 10.3367/UFNr.2017.02.038061

References (15) Cited by (1) Similar articles (20) ↓

  1. K.V. Chukbar “Harmony in many-particle quantum problem” Phys. Usp. 61 389–396 (2018)
  2. S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” Phys. Usp. 63 721–724 (2020)
  3. E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elements” Phys. Usp. 36 (9) 851–853 (1993)
  4. A.A. Grib “On the problem of the interpretation of quantum physics” Phys. Usp. 56 1230–1244 (2013)
  5. G.V. Shpatakovskaya “Semiclassical method of analysis and estimation of the orbital binding energies in many-electron atoms and ions” Phys. Usp. 62 186–197 (2019)
  6. S.V. Goupalov “Classical problems with the theory of elasticity and the quantum theory of angular momentum” Phys. Usp. 63 57–65 (2020)
  7. A.N. Rubtsov “On the question of measurement in quantum mechanics” Phys. Usp. 66 734–740 (2023)
  8. P. Paradoksov “How quantum mechanics helps us understand classical mechanics” Sov. Phys. Usp. 9 618–620 (1967)
  9. E.D. Trifonov “On quantum statistics for ensembles with a finite number of particles” Phys. Usp. 54 723–727 (2011)
  10. A.V. Belinsky, M.Kh. Shulman “Quantum nature of a nonlinear beam splitter” Phys. Usp. 57 1022–1034 (2014)
  11. Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” Phys. Usp. 55 796–807 (2012)
  12. A.S. Tarnovskii “The Bohr-Sommerfeld quantization rule and quantum mechanics” Sov. Phys. Usp. 33 (1) 86–86 (1990)
  13. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
  14. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
  15. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics” Phys. Usp. 39 169–177 (1996)
  16. B.I. Sturman “Ballistic and shift currents in the bulk photovoltaic effect theory” Phys. Usp. 63 407–411 (2020)
  17. I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” Phys. Usp. 63 395–406 (2020)
  18. V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” Phys. Usp. 57 891–896 (2014)
  19. V.K. Ignatovich “The neutron Berry phase” Phys. Usp. 56 603–604 (2013)
  20. A.V. Burenin “On the importance of the Born-Oppenheimer approximation in intramolecular dynamics” Phys. Usp. 53 713–724 (2010)

The list is formed automatically.
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions