Inequivalence between Gravitational Mass and Energy for a Quantum Body

We introduce quantum electron passive gravitational mass operator in a hydrogen atom, taking into account both kinetic energy of electron motion in the atom and the Coulomb energy of electron-proton interaction [1]. It is shown that the Einstein’s equivalence principle is broken both at microscopic and macroscopic levels. Indeed, during individual quantum measurement of electron passive gravitational mass there is a small probability that the equation E=mc² is broken. At macroscopic level, it is shown that for ensembles of the atom with stationary energies the above mentioned equation survives, as expected. On the other hand, for coherent ensembles of superpositions of two or several stationary states of the atoms the famous equation is shown to be broken. [1] A.G. Lebed, Mod. Phys. Lett. A, v. 35, 2030010 (2020).