Quantum Oscillator in the Thermostat as a Model in the Thermodynamics of   Open Quantum Systems
  The quantum oscillator in the thermostat is considered as the model of an open quantum system. Our analysis will be heavily founded on the use of the Schroedinger generalized uncertainties relations (SUR). Our first aim is to demonstrate that for the quantum oscillator the state of thermal equilibrium belongs to the correlated coherent states (CCS), which imply the saturation of SUR at any temperature. The obtained results open the perspective for the search of some statistical theory, which unifies the elements of quantum mechanics and GDT; this in turn will give the foundation for the modification of the standard thermodynamics. 
Aleksander Sukhanov