V. P. Maslov, “Refinement of the Gibbs and Bose–Einstein Distributions”, TMF, 145:3 (2005), 433–436; Theoret. and Math. Phys., 145:3 (2005), 1749

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 433–436
DOI: https://doi.org/10.4213/tmf1912 (Mi tmf1912)

This article is cited in 10 scientific papers (total in 10 papers)

Refinement of the Gibbs and Bose–Einstein Distributions

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Full-text PDF (161 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf1912

Abstract: A rigorous derivation of the Gibbs and Bose–Einstein distributions on a finite set of energies is stated, in essence, as a theorem in number theory. If there are not very many particles, then the discussion of this question reduces to an exact theorem.

Keywords: Gibbs distribution, Bose-Einstein distribution, number theory, law of large numbers.

Received: 10.10.2005

English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1749–1752
DOI: https://doi.org/10.1007/s11232-005-0197-4

Bibliographic databases:

Language: Russian

Citation: V. P. Maslov, “Refinement of the Gibbs and Bose–Einstein Distributions”, TMF, 145:3 (2005), 433–436; Theoret. and Math. Phys., 145:3 (2005), 1749–1752

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1912

https://doi.org/10.4213/tmf1912

https://www.mathnet.ru/eng/tmf/v145/i3/p433

This publication is cited in the following 10 articles:

V. P. Maslov, “New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts”, Russ. J. Math. Phys., 19:1 (2012), 63
V. P. Maslov, “Tunnel quantization of thermodynamics and critical exponents”, Math Notes, 90:3-4 (2011), 533
V. P. Maslov, T. V. Maslova, “Main axiom of thermodynamics and entropy of number theory: Tunnel and ultrasecond quantization”, Math Notes, 90:3-4 (2011), 385
V. P. Maslov, “Mathematical conception of “Phenomenological” equilibrium thermodynamics”, Russ. J. Math. Phys., 18:4 (2011), 440
V. P. Maslov, “A correction to the Maxwell distribution and the Bose–Einstein-type distribution in classical physics”, Theoret. and Math. Phys., 157:1 (2008), 1491–1495
Maslov, VP, “New theory of nucleation”, Russian Journal of Mathematical Physics, 15:3 (2008), 332
V. P. Maslov, “A refinement of the Zipf–Mandelbrot law and the lacunarity in an ideal gas”, Theoret. and Math. Phys., 147:3 (2006), 876–877
V. P. Maslov, “Nonlinear Averages in Economics”, Math. Notes, 78:3 (2005), 347–363
V. P. Maslov, “Nonlinearity of Averages in Financial Mathematics”, Math. Notes, 74:6 (2003), 893–896
V. P. Maslov, “Ultra-Second Quantization and “Ghosts” in Quantized Entropy”, Theoret. and Math. Phys., 129:3 (2001), 1694–1716

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

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Abstract page:	705
Full-text PDF :	311
References:	103
First page:	5

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