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Non-Exponential Decay for Polaron Model

L. Accardi·S. V. Kozyrev·I. V. Volovich
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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.

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L. Accardi, S. V. Kozyrev, I. V. Volovich. 1999-04-26. Non-Exponential Decay for Polaron Model. https://doi.org/10.1016/s0375-9601(99)00510-1

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