Non-Exponential Decay for Polaron Model

Details Non-Exponential Decay for Polaron Model Non-Exponential Decay for Polaron Model

1999-04-26

arxiv.org/abs/quant-ph/9904084v1

Phys.Lett. A260 (1999) 31-38

Physics

Quantum Physics

Latex, 10 pages

Scientific paper

10.1016/S0375-9601(99)00510-1

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We compute matrix elements of the evolution operator in the stochastic approximation and show that depending on the state of the particle one can get the non-exponential decay with the rate t^{-3/2}. In the process of computation a new algebra of commutational relations that can be considered as an operator deformation of quantum Boltzmann commutation relations is used.

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