### 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 post-Newtonian 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.

Original language | English (US) |
---|---|

Article number | 012154 |

Journal | Journal of Physics: Conference Series |

Volume | 490 |

Issue number | 1 |

DOIs | |

State | Published - 2014 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Breakdown of the equivalence between gravitational mass and energy for a composite quantum body.** / Lebed, Andrei G.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Breakdown of the equivalence between gravitational mass and energy for a composite quantum body

AU - Lebed, Andrei G

PY - 2014

Y1 - 2014

N2 - 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 post-Newtonian 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.

AB - 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 post-Newtonian 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.

UR - http://www.scopus.com/inward/record.url?scp=84896930067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896930067&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/490/1/012154

DO - 10.1088/1742-6596/490/1/012154

M3 - Article

VL - 490

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012154

ER -