Non-exponential decay for Polaron model

✍ Scribed by L. Accardi; S.V. Kozyrev; I.V. Volovich

• Book ID: 104337681
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 85 KB
• Volume: 260
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00510-1

✦ Synopsis

A model of a particle interacting with a 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 non-exponential decay with the rate t y3r2 . In the process of computation a new algebra of commutation relations that can be considered as an operator deformation of the quantum Boltzmann commutation relations is used.