Abstract
A model of a particle interacting with a 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 non-exponential decay with the rate t −3/2. In the process of computation a new algebra of commutation relations that can be considered as an operator deformation of the quantum Boltzmann commutation relations is used.
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