Issues

 / 

2011

 / 

July

  

Methodological notes


On quantum statistics for ensembles with a finite number of particles


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

The well-known Bose—Einstein and Fermi—Dirac quantum distributions can be considered as stationary solutions of kinetic equations for the mean occupation numbers in an ideal gas of an arbitrary finite number of identical particles.

Fulltext pdf (107 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0181.201107d.0747
PACS: 05.30.Jp, 74.40.+k (all)
DOI: 10.3367/UFNe.0181.201107d.0747
URL: https://ufn.ru/en/articles/2011/7/c/
000296148400003
2-s2.0-80054734791
2011PhyU...54..723T
Citation: Trifonov E D "On quantum statistics for ensembles with a finite number of particles" Phys. Usp. 54 723–727 (2011)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 16th, March 2010, revised: 21st, January 2011, 23rd, May 2011

Оригинал: Трифонов Е Д «По поводу квантовых статистик для ансамблей с конечным числом частиц» УФН 181 747–751 (2011); DOI: 10.3367/UFNr.0181.201107d.0747

References (42) ↓ Cited by (2) Similar articles (20)

  1. Phillips W D Rev. Mod. Phys. 70 721 (1998); Filips V Usp. Fiz. Nauk 169 305 (1999)
  2. Chu S Rev. Mod. Phys. 70 685 (1998); Chu S Usp. Fiz. Nauk 169 274 (1999)
  3. Cohen-Tannoudji C N Rev. Mod. Phys. 70 707 (1998); Koen-Tanudzhi K N Usp. Fiz. Nauk 169 292 (1999)
  4. Ketterle V Usp. Fiz. Nauk 173 1339 (2003)
  5. Kornell E A, Viman K E Usp. Fiz. Nauk 173 1320 (2003)
  6. Ketterle W, van Druten N J Phys. Rev. A 54 656 (1996)
  7. Kristen K, Toms D J Phys. Rev. A 54 4188 (1996)
  8. Kagan Yu, Svistunov B V Phys. Rev. Lett. 79 3331 (1997)
  9. Haugerud H, Haugset T, Pavndal F Phys. Lett. A 225 18 (1997)
  10. Pathria R K Phys. Rev. A 58 1490 (1998)
  11. Kocharovsky V V, Kocharovsky Vl V, Scully M O Phys. Rev. Lett. 84 2306 (2000)
  12. Kocharovsky V V, Kocharovsky Vl V, Scully M O Phys. Rev. A 61 053606 (2000)
  13. Kocharovsky V V et al. Phys. Rev. A 61 023609 (2000)
  14. Davis M J, Morgan S A, Burnett K Phys. Rev. Lett. 87 160402 (2001)
  15. Yan Z Eur. J. Phys. 22 233 (2001)
  16. Xiong H et al. Phys. Rev. A 65 033609 (2002)
  17. Davis M J, Morgan S A Phys. Rev. A 68 053615 (2003)
  18. Sinantra A, Lobo C, Castin Y Phys. Rev. Lett. 87 210404 (2001)
  19. Sinantra A, Lobo C, Castin Y J. Phys. B At. Mol. Opt. Phys. 35 3599 (2002)
  20. Goral K, Gajda M, Rzazewski K Opt. Express 8 92 (2001)
  21. Brewczyk M, Gajda M, Rzażewski K J. Phys. B At. Mol. Opt. Phys. 40 R1 (2007)
  22. Ketterle W Rev. Mod. Phys. 74 1131 (2002)
  23. Cornell E A, Wieman C E Rev. Mod. Phys. 74 875 (2002)
  24. Pitaevskii L, Stringari S Bose - Einstein Condensation (Oxford: Clarendon Press, 2003)
  25. Kocharovsky V V et al. Adv. At. Mol. Opt. Phys. 53 291 (2006); Kocharovsky V V et al. cond-mat/0605507
  26. Yukalov V I Laser Phys. Lett. 4 632 (2007)
  27. Yukalov V I Laser Phys. 19 1 (2009)
  28. Glaum K, Kleinert H, Pelster A Phys. Rev. A 76 063604 (2007)
  29. Bugrii A I, Loktev V M FNT 35 983 (2009); Bugrij A I, Loktev V M Low Temp. Phys. 35 770 (2009)
  30. Trifonov E D, Zagulyaev S N Usp. Fiz. Nauk 180 89 (2010); Trifonov E D, Zagulyaev S N Phys. Usp. 53 83 (2010)
  31. Kocharovsky V V, Kocharovsky Vl V Phys. Rev. A 81 033615 (2010)
  32. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1995); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  33. Leontovich M A Vvedenie v Termodinamiku. Statisticheskaya Fizika (M.: Nauka, 1983)
  34. Gust E, Reichl L E Phys. Rev. E 81 061202 (2010)
  35. Eckern U J. Low Temp. Phys. 54 333 (1984)
  36. Kirkpatrick T R, Dorfman J R J. Low Temp. Phys. 58 301 (1985); Kirkpatrick T R, Dorfman J R J. Low Temp. Phys. 58 399 (1985)
  37. Proukakis N P, Burnett K, Stoof H T C Phys. Rev. A 57 1230 (1998)
  38. Walser R et al. Phys. Rev. A 59 3878 (1999)
  39. Imamović-Tomasović M, Griffin A Phys. Rev. A 60 494 (1999)
  40. Imamovic-Tomasovic M, Griffin A J. Low Temp. Phys. 122 617 (2001)
  41. Wachter J et al. Phys. Rev. A 64 053612 (2001)
  42. Kocharovsky V V, Kocharovsky Vl V Laser Phys. 17 700 (2007)

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