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.
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
\Bibitem{Mas00}
\by V.~P.~Maslov
\paper A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy
\jour Funktsional. Anal. i Prilozhen.
\yr 2000
\vol 34
\issue 4
\pages 35--48
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\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 4
\pages 265--275
\crossref{https://doi.org/10.1023/A:1004105306888}
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Linking options:
https://www.mathnet.ru/eng/faa324
https://doi.org/10.4213/faa324
https://www.mathnet.ru/eng/faa/v34/i4/p35
This publication is cited in the following 16 articles:
V. P. Maslov, “Undistinguishing statistics of objectively distinguishable objects: Thermodynamics and superfluidity of classical gas”, Math Notes, 94:5-6 (2013), 722
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
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
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
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
V. P. Maslov, “Quantization of Boltzmann Entropy: Pairs and Correlation Function”, Theoret. and Math. Phys., 131:2 (2002), 666–680
V. P. Maslov, “Ultratertiary Quantization of Thermodynamics”, Theoret. and Math. Phys., 132:3 (2002), 1222–1232
Maslov, VP, “Spectral series and quantization of thermodynamics”, Russian Journal of Mathematical Physics, 9:1 (2002), 112
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
V. P. Maslov, “Quantum statistics methods from the viewpoint of probability theory. I”, Theory Probab. Appl., 47:4 (2003), 665–683
V. P. Maslov, Asymptotic Combinatorics with Application to Mathematical Physics, 2002, 209
V. P. Maslov, “Ultra-Second Quantization and “Ghosts” in Quantized Entropy”, Theoret. and Math. Phys., 129:3 (2001), 1694–1716
V. P. Maslov, “Super-second quantisation and entropy quantisation with charge conservation”, Russian Math. Surveys, 55:6 (2000), 1157–1158
Maslov, VP, “Quantization of entropy and superconductivity”, Doklady Mathematics, 62:3 (2000), 409
Maslov, VP, “Quantum electrodynamics for many fields”, Russian Journal of Mathematical Physics, 7:4 (2000), 488
V. P. Maslov, “Quantized entropy and its relation to occupation numbers”, Theory Probab. Appl., 45:4 (2001), 678–680
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