The Born-Oppenheimer Approach to the Matter-Gravity System and Unitarity

Details The Born-Oppenheimer Approach to the Matter-Gravity System and Unitarity The Born-Oppenheimer Approach to the Matter-Gravity System and Unitarity

1996-04-04

arxiv.org/abs/gr-qc/9604011v2

Class.Quant.Grav.13:2375-2384,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 12 pages. Revised version as accepted for publication by Class. and Quant. Grav. Some points explained and misprints co

Scientific paper

10.1088/0264-9381/13/9/005

The Born-Oppenheimer approach to the matter-gravity system is illustrated and the unitary evolution for matter, in the absence of phenomena such as tunnelling or other instabilities, verified. The Born-Oppenheimer approach to the matter-gravity system is illustrated in a simple minisuperspace model and the corrections to quantum field theory on a semiclassical background exhibited. Within such a context the unitary evolution for matter, in the absence of phenomena such as tunnelling or other instabilities, is verified and compared with the results of other approaches. Lastly the simplifications associated with the use of adiabatic invariants to obtain the solution of the explicitly time dependent evolution equation for matter are evidenced.

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