  We argue that correct account of the quantum properties of macroscopic
objects which form reference frames (RF) demand the change of the standard
space-time picture accepted in Quantum Mechanics. The presence of RF free
quantum motion in the form of wave packet smearing results in formal
nonapplicability of Galilean or Lorentz space-time transformations in this
case. For the description of the particles states transformations between
different quantum RF the special quantum space-time transformations are
formulated. Consequently it results in corrections to Schrodinger or Klein-
Gordon equations which depends on the RF mass. RF proper time becomes the
operator depending of momentums spread in RF wave packet ,from the point of
view of other observer. The experiments with macroscopic coherent states are
proposed in which this effects can be tested.}
