Classical Resonances and Quantum Scarring

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dc.creatorManderfeld, Christopher
dc.date2003-01-22
dc.date.accessioned2026-07-07T05:34:30Z
dc.date.available2026-07-07T05:34:30Z
dc.descriptionWe study the correspondence between phase-space localization of quantum (quasi-)energy eigenstates and classical correlation decay, given by Ruelle-Pollicott resonances of the Frobenius-Perron operator. It will be shown that scarred (quasi-)energy eigenstates are correlated: Pairs of eigenstates strongly overlap in phase space (scar in same phase-space regions) if the difference of their eigenenergies is close to the phase of a leading classical resonance. Phase-space localization of quantum states will be measured by $L^2$ norms of their Husimi functions.
dc.description21 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/nlin/0301028
dc.identifierhttp://arxiv.org/abs/nlin/0301028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80390
dc.subjectChaotic Dynamics
dc.titleClassical Resonances and Quantum Scarring
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