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. 
@article{MZM_2002_71_4_a7,
     author = {V. P. Maslov},
     title = {Statistical {Ensemble} and {Quantization} of {Thermodynamics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {558--566},
     publisher = {mathdoc},
     volume = {71},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a7/}
}
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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/