We consider a quantum system of two particles in dimension three interacting via a smooth potential. We characterize the asymptotic dynamics in the limit of small mass ratio for an initial state given in product form, with an explicit control of the error. An application to the decoherence effect produced on the heavy particle is also discussed.
Adami, R., Figari, R., Finco, D., Teta, A. (2004). On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(30), 7567-7580 [10.1088/0305-4470/37/30/012].
On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit
ADAMI, RICCARDO;
2004
Abstract
We consider a quantum system of two particles in dimension three interacting via a smooth potential. We characterize the asymptotic dynamics in the limit of small mass ratio for an initial state given in product form, with an explicit control of the error. An application to the decoherence effect produced on the heavy particle is also discussed.File in questo prodotto:
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