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This approach to the incorporation of stochastic thermodynamics into quantumtheory is based on the conception of consistent inclusion of the holisticstochastic environmental influence described by wave functions of the arbitraryvacuum, which was proposed in our paper previously.  In this study, we implement the possibility of explicitly incorporating thezeroth law of stochastic thermodynamics in the form of the saturatedSchr\"odinger uncertainty relation into quantum theory. This allowscomparatively analyzing the sets of states of arbitrary vacuums, namely,squeezed coherent states (SCSs) and correlated coherent states (CCSs). Inaddition, we compare the results of the construction of stochasticthermodynamics using SCSs and TCCSs with the versions involving theincorporation of thermodynamics into quantum theory developed previously andbased on thermofield dynamics and quantum statistical mechanics.

Quantum mechanical analogue of the zeroth law of thermodynamics. (On the problem of incorporating Thermodynamics into Quantum Theory)