Non-Exponential Decay for Polaron Model
arXiv:quant-ph/9904084 · doi:10.1016/S0375-9601(99)00510-1
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.
Latex, 10 pages
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Cited by in corpus (5)
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