Geodesic
A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 35-48.

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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. 
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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. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 35-48. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a2/

[1] Maslov V. P., “Problema fazovykh perekhodov v sverkhtekuchei i normalnoi zhidkostyakh”, TMF, 121:3 (1999), 492–508 | DOI | MR

[2] Maslov V. P., “Ob odnom metode osredneniya dlya kvantovoi zadachi mnogikh tel”, Funkts. analiz i ego pril., 33:4 (1999), 50–64 | DOI | MR | Zbl

[3] Berezin F. A., Metod vtorichnogo kvantovaniya, Nauka, M., 1986 | MR | Zbl

[4] Maslov V. P., Operatornye metody, Nauka, M., 1973 | MR

[5] Maslov V. P., “O sposobe osredneniya dlya bolshogo chisla klasterov. Fazovye perekhody”, TMF, 125:2 (2000), 297–314 | DOI | MR | Zbl

[6] Maslov V. P., “Deterministic quantum chaos for systems of bosons and fermions”, Russian J. Math. Phys., 5:4 (1998), 473–488 | MR