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27 April 2024
 
  » arxiv » quant-ph/9904084

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Non-Exponential Decay for Polaron Model
L.Accardi ; S.V.Kozyrev ; I.V.Volovich ;
Date 26 Apr 1999
Journal Phys.Lett. A260 (1999) 31-38
Subject quant-ph
AbstractA 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.
Source arXiv, quant-ph/9904084
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