  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.
