On the Asymptotic Dynamics of a Quantum System Composed by Heavy and Light Particles
| Autor: | Riccardo Adami, Rodolfo Figari, Domenico Finco, Alessandro Teta |
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| Přispěvatelé: | R., Adami, Figari, Rodolfo, D., Finco, A., Teta, Adami, R, Figari, R, Finco, D, Teta, A |
| Rok vydání: | 2005 |
| Předmět: |
Physics
Quantum decoherence Photon Dimension (graph theory) schroedinger equation FOS: Physical sciences 81U99 Statistical and Nonlinear Physics Mathematical Physics (math-ph) Mass ratio heavy and light particles 81Q05 Product (mathematics) Quantum system quantum mechanics Schroedinger equation decoherence dispersive estimates dispersive estimates Asymptotic formula Limit (mathematics) decoherence Mathematical Physics Mathematical physics |
| DOI: | 10.48550/arxiv.math-ph/0512023 |
| Popis: | We consider a non relativistic quantum system consisting of $K$ heavy and $N$ light particles in dimension three, where each heavy particle interacts with the light ones via a two-body potential $\alpha V$. No interaction is assumed among particles of the same kind. Choosing an initial state in a product form and assuming $\alpha$ sufficiently small we characterize the asymptotic dynamics of the system in the limit of small mass ratio, with an explicit control of the error. In the case K=1 the result is extended to arbitrary $\alpha$. The proof relies on a perturbative analysis and exploits a generalized version of the standard dispersive estimates for the Schr\"{o}dinger group. Exploiting the asymptotic formula, it is also outlined an application to the problem of the decoherence effect produced on a heavy particle by the interaction with the light ones. Comment: 38 pages |
| Databáze: | OpenAIRE |
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