Decoherence, Correlation, and Unstable Quantum States in Semiclassical Cosmology

Details Decoherence, Correlation, and Unstable Quantum States in Semiclassical Cosmology Decoherence, Correlation, and Unstable Quantum States in Semiclassical Cosmology

1994-04-14

arxiv.org/abs/gr-qc/9404028v1

Gen.Rel.Grav.28:263-286,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pgs. Latex file

Scientific paper

10.1007/BF02106967

It is demonstrated that almost any S-matrix of quantum field theory in curved spaces posses an infinite set of complex poles (or branch cuts). These poles can be transformed into complex eigenvalues, the corresponding eigenvectors being Gamow vectors. All this formalism, which is heuristic in ordinary Hilbert space, becomes a rigorous one within the framework of a properly chosen rigged Hilbert space. Then complex eigenvalues produce damping or growing factors. It is known that the growth of entropy, decoherence, and the appearance of correlations, occur in the universe evolution, but only under a restricted set of initial conditions. It is proved that the damping factors allow to enlarge this set up to almost any initial conditions.

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