Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-06-08
Phys.Rev. D47 (1993) 3383-3393
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, CALT-68-1848 (RevTeX 2.0 macros)
Scientific paper
10.1103/PhysRevD.47.3383
Following the formalism of Gell-Mann and Hartle, phenomenological equations of motion are derived from the decoherence functional formalism of quantum mechanics, using a path-integral description. This is done explicitly for the case of a system interacting with a ``bath'' of harmonic oscillators whose individual motions are neglected. The results are compared to the equations derived from the purely classical theory. The case of linear interactions is treated exactly, and nonlinear interactions are compared using classical and quantum perturbation theory.
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