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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:34 |
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Conference: Bucharest University Faculty of Physics 2010 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Nonexponential decay of Floquet resonance states
Authors:
Victor Dinu
Affiliation:
Physics Department, Bucharest University
E-mail
victordinu@yahoo.com
Keywords:
Floquet, perturbation, threshold
Abstract:
Using the expansion of resolvents near thresholds, as developed by Jensen&Nenciu, we found an analytic formula approximating the decay law of a formerly bound state of periodically perturbed systems. When the frequency of the perturbation is close to the distance between the bound state energy and the threshold of the unperturbed Hamiltonian`s continuous spectrum, nonexponential decay laws are encountered. We checked our results using numerical computations for some particular systems.
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