| Exploring classical phase space structures of nearly integrable and mixed quantum systems via parametric variation. | |
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MedLine Citation:
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PMID: 14682869 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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The correlation between overlap intensities and level velocities has been introduced as a sensitive measure capable of revealing phase space localization. Previously applied to chaotic quantum systems, here we extend the theory to near-integrable and mixed quantum systems. This measure is useful in the latter cases because it has the ability to highlight certain phase space structures depending upon the perturbation used to parametrically vary the Hamiltonian. A detailed semiclassical theory is presented relating the correlation coefficient to the phase space weighted derivatives of the classical action. In the process, we confront the question of whether the Hannay-Ozorio de Almeida sum rules are simply extendable to mixed phase space systems. In addition, the variant Planck's over 2pi scalings of the correlation coefficient and relevant quantities are derived for nearly integrable systems. Excellent agreement is found between the theory and the results for integrable billiards as well as for the standard map. |
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Authors:
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Nicholas R Cerruti; Srihari Keshavamurthy; Steven Tomsovic |
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Publication Detail:
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Type: Journal Article Date: 2003-11-18 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 68 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2003 Nov |
Date Detail:
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Created Date: 2003-12-19 Completed Date: 2004-02-12 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 056205 Citation Subset: - |
Affiliation:
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Department of Physics, Washington State University, Pullman, WA 99164-2814, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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