On quantum statistics for ensembles with a finite number of particles

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.

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

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Received: 16th, March 2010, revised: 21st, January 2011, accepted: 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) ↓

E.D. Trifonov, S.N. Zagoulaev “On the Bose-Einstein condensate partition function for an ideal gas” Phys. Usp. 53 83–90 (2010)
S.M. Stishov “Notes on the properties of helium” Phys. Usp. 67 338–342 (2024)
E.D. Trifonov “On the spin-statistics theorem” Phys. Usp. 60 621–622 (2017)
K.V. Chukbar “Harmony in many-particle quantum problem” Phys. Usp. 61 389–396 (2018)
Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” Phys. Usp. 55 796–807 (2012)
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
O.V. Rudenko “Nonlinear dynamics of quadratically cubic systems” Phys. Usp. 56 683–690 (2013)
A.G. Shalashov “Can we refer to Hamilton equations for an oscillator with friction?” Phys. Usp. 61 1082–1088 (2018)
M.V. Kuzelev, A.A. Rukhadze “On the quantum description of the linear kinetics of a collisionless plasma” Phys. Usp. 42 603–605 (1999)
A.P. Vinogradov, A.V. Dorofeenko, S. Zouhdi “On the problem of the effective parameters of metamaterials” Phys. Usp. 51 485–492 (2008)
V.I. Ritus “Lagrange equations of motion of particles and photons in the Schwarzschild field” Phys. Usp. 58 1118–1123 (2015)
K.Yu. Bliokh, Yu.P. Bliokh “What are the left-handed media and what is interesting about them?” Phys. Usp. 47 393–400 (2004)
I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” Phys. Usp. 63 395–406 (2020)
V.D. Lakhno “Translation invariance and the problem of the bipolaron” Phys. Usp. 41 403–406 (1998)
S.L. Sobolev “Local non-equilibrium transport models” Phys. Usp. 40 1043–1053 (1997)
A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
G.A. Martynov “Nonequilibrium statistical mechanics, transport equations, and the second law of thermodynamics” Phys. Usp. 39 1045–1070 (1996)
B.M. Bolotovskii, S.N. Stolyarov “Reflection of light from a moving mirror and related problems” Sov. Phys. Usp. 32 813–827 (1989)
B.I. Sturman “Collision integral for elastic scattering of electrons and phonons” Sov. Phys. Usp. 27 881–884 (1984)
A.A. Andronov, Yu.A. Ryzhov “An infinity of the classical theory of fluctuations in a nondegenerate electron gas” Sov. Phys. Usp. 21 873–878 (1978)

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