✍ Scribed by A.S. Chaves; J.M. Figueiredo; M.C. Nemes
No coin nor oath required. For personal study only.
Quantum fluctuations on the metrics of three-space are supposed to universally affect the time evolution of the systems. The Schrödinger equation is modified to account for these fluctuations and the density matrix of one-particle system, in the coordinates representation, is calculated by using Feynman's path integral method. The evolution is nonunitary, although preserving the initial normalization of the wavefunction. This leads initially to loss of quantum coherence and increase of entropy. For longer times the system loses its quantum interference properties, thus becoming classical. All that can happen very fast for macroscopic systems.
C. 1994 Academic Press, Inc.
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