Geodesic
Statistical Ensemble and Quantization of Thermodynamics
Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 558-566.

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We derive the equations of quantized thermodynamics from the Gibbs ensemble and obtain a representation of the new equations which permits a formal passage to the Bardeen–Cooper–Schrieffer equations. 
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V. P. Maslov. Statistical Ensemble and Quantization of Thermodynamics. Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 558-566. http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a7/

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[2] Maslov V. P., “O nekotorykh tozhdestvakh dlya prokvantovannoi entropii”, TMF, 129:3 (2001), 464–490 | MR | Zbl

[3] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1976

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

[5] Maslov V. P., Shvedov O. Yu., Metod kompleksnogo rostka, URSS, M., 2000