Breakdown of the equivalence between gravitational mass and energy for a composite quantum body
Abstract
The simplest quantum composite body, a hydrogen atom, is considered in the presence of a weak external gravitational field. We define an operator for the passive gravitational mass of the atom in the postNewtonian approximation of the general relativity and show that it does not commute with its energy operator. Nevertheless, the equivalence between the expectation values of the mass and energy is shown to survive at a macroscopic level for stationary quantum states. Breakdown of the equivalence between passive gravitational mass and energy at a microscopic level for stationary quantum states can be experimentally detected by studying unusual electromagnetic radiation, emitted by the atoms, supported by and moving in the Earth's gravitational field with constant velocity, using spacecraft or satellite.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 March 2014
 DOI:
 10.1088/17426596/490/1/012154
 arXiv:
 arXiv:1404.4044
 Bibcode:
 2014JPhCS.490a2154L
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1404.3765