V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, TMF, 132:3 (2002), 388–398; Theoret. and Math. Phys., 132:3 (2002), 1222

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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 3, Pages 388–398
DOI: https://doi.org/10.4213/tmf369 (Mi tmf369)

This article is cited in 20 scientific papers (total in 20 papers)

Ultratertiary Quantization of Thermodynamics

V. P. Maslov

M. V. Lomonosov Moscow State University

Full-text PDF (204 kB) Citations (20)

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DOI: https://doi.org/10.4213/tmf369

Abstract: We show that if the Dirac–Bogoliubov rule for replacing the bosonic creation and annihilation operators with the

c

$c$ -numbers is used, then the ultratertiary quantization allows obtaining the Bardeen–Cooper–Schrieffer–Bogoliubov formulas.

Keywords: asymptotic behavior, third quantization, quantization of thermodynamics.

Received: 08.04.2002

English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 3, Pages 1222–1232
DOI: https://doi.org/10.1023/A:1020216003625

Bibliographic databases:

Language: Russian

Citation: V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, TMF, 132:3 (2002), 388–398; Theoret. and Math. Phys., 132:3 (2002), 1222–1232

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf369

https://doi.org/10.4213/tmf369

https://www.mathnet.ru/eng/tmf/v132/i3/p388

This publication is cited in the following 20 articles:

V. P. Maslov, “Undistinguishing statistics of objectively distinguishable objects: Thermodynamics and superfluidity of classical gas”, Math Notes, 94:5-6 (2013), 722
Golikov D.S., “Maslov symbol for the density matrix in the case of quantization of pairs”, Moscow University Physics Bulletin, 65:6 (2010), 466–470
Maslov, VP, “On the appearance of the lambda-point in a weakly nonideal Bose gas and the two-liquid Thiess-Landau model”, Russian Journal of Mathematical Physics, 16:2 (2009), 146
G. V. Koval', V. P. Maslov, “Generalization of the Bardeen–Cooper–Schrieffer method for pair interactions”, Theoret. and Math. Phys., 154:3 (2008), 495–502
Maslov VP, “On the superfluidity of classical liquid in nanotubes, I. Case of even number of neutrons”, Russian Journal of Mathematical Physics, 14:3 (2007), 304–318
Golikov DS, Koval' GV, “The Maslov symbol for the density matrix”, Doklady Mathematics, 75:1 (2007), 143–146
Koval, GV, “Ultrasecondary quantization of fermions at nonzero temperature”, Doklady Mathematics, 76:2 (2007), 718
V. P. Maslov, “Superfluidity of classical liquid in a nanotube for even and odd numbers of neutrons in a molecule”, Theoret. and Math. Phys., 153:3 (2007), 1677–1696
G. V. Koval', V. P. Maslov, “Ultrasecond Quantization at Temperatures Distinct from Zero”, Math. Notes, 82:1 (2007), 47–51
Golikov, DS, “Ultrasecondary Maslov quantization in the case of the Bardin-Cooper-Schrieffer model”, Doklady Mathematics, 73:3 (2006), 457
Maslov, VP, “Resonance between one-particle (Bogolyubov) and two-particle series for a superfluid in a capillary”, Doklady Mathematics, 72:2 (2005), 802
Maslov, VP, “Resonance between one-particle (Bogoliubov) and two-particle series in a superfluid liquid in a capillary”, Russian Journal of Mathematical Physics, 12:3 (2005), 369
V. P. Maslov, “Dependence of the Superfluidity Criterion on the Capillary Radius”, Theoret. and Math. Phys., 143:3 (2005), 741–759
V. P. Maslov, “Phase Transition from the “Condensate” State”, Math. Notes, 74:4 (2003), 599–603
Koval, GV, “An inequality for entropy corresponding to solutions of a unitarily nonlinear equation in quantum thermodynamics”, Doklady Mathematics, 68:3 (2003), 449
Koval', GV, “A modification of Maslov's two-level model”, Russian Journal of Mathematical Physics, 10:2 (2003), 149
V. P. Maslov, “Econophysics and Quantum Statistics”, Math. Notes, 72:6 (2002), 811–818
Maslov, VP, “The notions of entropy, Hamiltonian, temperature, and thermodynamical limit in probability theory used for solving model problems in econophysics”, Russian Journal of Mathematical Physics, 9:4 (2002), 437
Koval', GV, “The procedure of carrying the exponential through ultrasecond-quantized operators for weakly nonideal Bose gases with Cooper pairs. I”, Russian Journal of Mathematical Physics, 9:4 (2002), 486
V. P. Maslov, “Quantum statistics methods from the viewpoint of probability theory. I”, Theory Probab. Appl., 47:4 (2003), 665–683

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

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