Quantum Theory of Non-Relativistic Particles Interacting with Gravity

Details Quantum Theory of Non-Relativistic Particles Interacting with Gravity Quantum Theory of Non-Relativistic Particles Interacting with Gravity

1995-11-01

arxiv.org/abs/gr-qc/9511004v2

Phys.Rev.D54:1600-1605,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex,14 pages, replaced to correct the title

Scientific paper

10.1103/PhysRevD.54.1600

We investigate the effects of the gravitational field on the quantum dynamics of non-relativistic particles. We consider N non-relativistic particles, interacting with the linearized gravitational field. Using the Feynman - Vernon influence functional technique, we trace out the graviton field, to obtain a master equation for the system of particles to first order in $G$. The effective interaction between the particles, as well as the self-interaction is non-local in time and in general non-markovian. We show that the gravitational self-interaction cannot be held responsible for decoherence of microscopic particles due to the fast vanishing of the diffusion function. For macroscopic particles though, it leads to diagonalization to the energy eigenstate basis, a desirable feature in gravity induced collapse models. We finally comment on possible applications.

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