Non-Exponential Decay for Polaron Model
Quantum Physics
2009-10-31 v1
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.
Cite
@article{arxiv.quant-ph/9904084,
title = {Non-Exponential Decay for Polaron Model},
author = {L. Accardi and S. V. Kozyrev and I. V. Volovich},
journal= {arXiv preprint arXiv:quant-ph/9904084},
year = {2009}
}
Comments
Latex, 10 pages