  We define passive gravitational mass operator of a hydrogen atom in the
post-Newtonian approximation of general relativity and show that it does not
commute with energy operator, taken in the absence of gravitational field.
Nevertheless, the equivalence between the expectation values of passive
gravitational mass and energy is shown to survive for stationary quantum
states. Inequivalence between passive gravitational mass and energy at a
macroscopic level results in time dependent oscillations of the expectation
values of passive gravitational mass for superpositions of stationary quantum
states, where the equivalence restores after averaging over time. Inequivalence
between gravitational mass and energy at a microscopic level reveals itself as
unusual electromagnetic radiation, emitted by the atoms, supported and moved in
the Earth gravitational field with constant velocity using spacecraft or
satellite, which can be experimentally measured.

General Relativity and Quantum Cosmology