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Classical and Quantum Transitions to Chaos for a Family of Periodically Driven Hamiltonians

✍ Scribed by César R. de Oliveira

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
283 KB
Volume
246
Category
Article
ISSN
0003-4916

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✦ Synopsis

The classical and quantum behaviors of a family of periodically driven hamiltonians are compared. By the resonance overlap criterion the perturbation field strength = c for the classical chaotic transition is estimated. The quantum spectral transition is analyzed in terms of the photonic approximation. From the validity of the photonic approximation and quantum delocalization condition the functional dependence of = c is recovered in a purely quantum way.

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