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 Funktsional. Anal. i Prilozhen.: Year: Volume: Issue: Page: Find

 Funktsional. Anal. i Prilozhen., 2000, Volume 34, Issue 4, Pages 35–48 (Mi faa324)

A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy

V. P. Maslov

Moscow State Institute of Electronics and Mathematics (Technical University)

Abstract: The many-particle Schrödinger operator in Fock spaces is averaged by a method that is a generalization of the averaging given in the author's paper (33, No. 4, 50–64). This provides a new representation of the Schrödinger equation, which is a direct generalization of the second quantization representation. The resulting correspondence between symbols and operators permits one to quantize entropy as well as free energy.

DOI: https://doi.org/10.4213/faa324

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English version:
Functional Analysis and Its Applications, 2000, 34:4, 265–275

Bibliographic databases:

UDC: 517.9

Citation: V. P. Maslov, “A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 35–48; Funct. Anal. Appl., 34:4 (2000), 265–275

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/faa324
• https://doi.org/10.4213/faa324
• http://mi.mathnet.ru/eng/faa/v34/i4/p35

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

This publication is cited in the following articles:
1. V. P. Maslov, “Super-second quantisation and entropy quantisation with charge conservation”, Russian Math. Surveys, 55:6 (2000), 1157–1158
2. Maslov, VP, “Quantization of entropy and superconductivity”, Doklady Mathematics, 62:3 (2000), 409
3. Maslov, VP, “Quantum electrodynamics for many fields”, Russian Journal of Mathematical Physics, 7:4 (2000), 488
4. V. P. Maslov, “Ultra-Second Quantization and “Ghosts” in Quantized Entropy”, Theoret. and Math. Phys., 129:3 (2001), 1694–1716
5. V. P. Maslov, “Quantization of Boltzmann Entropy: Pairs and Correlation Function”, Theoret. and Math. Phys., 131:2 (2002), 666–680
6. V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, Theoret. and Math. Phys., 132:3 (2002), 1222–1232
7. Maslov, VP, “Spectral series and quantization of thermodynamics”, Russian Journal of Mathematical Physics, 9:1 (2002), 112
8. Maslov V.P., “Quantization of thermodynamics and the Bardeencooper-Schriffer-Bogolyubov equation”, Asymptotic Combinatorics With Applications To Mathematical Physics, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 77, 2002, 209–220
9. 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
10. 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
11. 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
12. Ruuge A.E., van Oystaeyen F., “q-Legendre transformation: partition functions and quantization of the Boltzmann constant”, Journal of Physics A-Mathematical and Theoretical, 43:34 (2010), 345203
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