Inequivalence Between Active Gravitational Mass and Energy for a Composite Quantum Body
Abstract
We derive active gravitational mass operator for the simplest composite quantum body - a hydrogen atom. We show that, despite the fact that it does not commute with energy operator, taken in the absence of gravitational field, the equivalence between the expectation values of active gravitational mass and energy survives for stationary quantum states. Inequivalence between active gravitational mass and energy reveals itself as time-dependent oscillations of the expectation values of active gravitational mass for non-stationary quantum states.
This work was supported by the NSF under Grant DMR-1104512.- Publication:
-
APS April Meeting Abstracts
- Pub Date:
- March 2014
- DOI:
- 10.1103/BAPS.2014.APRIL.J16.5
- Bibcode:
- 2014APS..APRJ16005B