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

This article is cited in 12 scientific papers (total in 12 papers)

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

Full text: PDF file (158 kB)
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English version:
Functional Analysis and Its Applications, 2000, 34:4, 265–275

Bibliographic databases:

UDC: 517.9
Received: 05.10.2000

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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\pages 35--48
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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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Maslov, VP, “Quantization of entropy and superconductivity”, Doklady Mathematics, 62:3 (2000), 409  mathscinet  zmath  isi
    3. Maslov, VP, “Quantum electrodynamics for many fields”, Russian Journal of Mathematical Physics, 7:4 (2000), 488  mathscinet  zmath  isi
    4. V. P. Maslov, “Ultra-Second Quantization and “Ghosts” in Quantized Entropy”, Theoret. and Math. Phys., 129:3 (2001), 1694–1716  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. V. P. Maslov, “Quantization of Boltzmann Entropy: Pairs and Correlation Function”, Theoret. and Math. Phys., 131:2 (2002), 666–680  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, Theoret. and Math. Phys., 132:3 (2002), 1222–1232  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Maslov, VP, “Spectral series and quantization of thermodynamics”, Russian Journal of Mathematical Physics, 9:1 (2002), 112  mathscinet  zmath  isi
    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  mathscinet  zmath  isi
    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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    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  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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