Early-time properties of quantum evolution

Physics

Scientific paper

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Origin And Formation Of The Universe, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Approximate formulas are given for the effective Hamiltonian H∥(t) governing the time evolution in a subspace scrH∥ of the state space scrH. It is proved that this approximation is correct for any Hamiltonian H of the system under consideration at the early-time period. The approximate form of the survival amplitude for a given state improving Fleming's estimation in the short-time region is found and the properties of a decay rate for small, intermediate, and long times are discussed.

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