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.
Accardi, L., Kozyrev, S.v., Volovich, I.v. (1999). Non-Exponential decay for polaron model. PHYSICS LETTERS A, 260(1-2), 31-38 [10.1016/S0375-9601(99)00510-1].
Non-Exponential decay for polaron model
ACCARDI, LUIGI;
1999-01-01
Abstract
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.| File | Dimensione | Formato | |
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