The Schrödinger uncertainty relation as a key tool for incorporating statistical thermodynamics into quantum theory

We use the concept of consistent describing of the holistic stochastic environmental action on the basis of complex wave functions of the arbitrary vacuum and operators of quantum and thermal influence. In this study, we implement the possibility of explicitly incorporating the zeroth law of stochastic thermodynamics in the form of the saturated Schrödinger uncertainty relation into quantum theory. This allows comparatively analyzing the sets of states of arbitrary vacuums, which can be used for the description of thermal equilibrium states. © 2013 Published by NRC Research Press.