Quantum resonances due to classical stability islands

Details Quantum resonances due to classical stability islands Quantum resonances due to classical stability islands

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrve..50.3615g&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 50, Issue 5, November 199

Nonlinear Sciences

Chaotic Dynamics

5

Chaos In Fluid Dynamics, Chaotic Dynamics

Scientific paper

We have studied the scattering of a one-dimensional particle by a time-periodically kicked potential. In the classical case, this system displays irregular scattering. We show that the presence of a large stability island in the classical phase space leads to sharp resonances in the quantum case. Using the corresponding time-independent system the localization of the resonances is predicted by a first-order perturbation theory. We show that the observed resonance patterns are closely connected with the quantum tunneling between the chaotic and stability regions of the classical phase space.

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