Why we don`t need quantum planetary dynamics, or on decoherence and the correspondence principle for chaotic systems

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Violation of correspondence principle may occur for very macroscopic byt isolated quantum systems on rather short timescales as illustrated by the case of Hyperion, the chaotically tumbling moon of Saturn, for which quantum and classical predictions are expected to diverge on a timescale of approximately 20 years. Motivated by Hyperion, we review salient features of ``quantum chaos`` and show that decoherence is the essential ingredient of the classical limit, as it enables one to solve the apparent paradox caused by the breakdown of the correspondence principle for classically chaotic systems.

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13 p.

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Zurek, W.H. & Pas, J.P. August 1, 1995.

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  • Zurek, W.H. Los Alamos National Lab., NM (United States)
  • Pas, J.P. Ciudad Universitaria (Argentina). Dept. de Fisica

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Violation of correspondence principle may occur for very macroscopic byt isolated quantum systems on rather short timescales as illustrated by the case of Hyperion, the chaotically tumbling moon of Saturn, for which quantum and classical predictions are expected to diverge on a timescale of approximately 20 years. Motivated by Hyperion, we review salient features of ``quantum chaos`` and show that decoherence is the essential ingredient of the classical limit, as it enables one to solve the apparent paradox caused by the breakdown of the correspondence principle for classically chaotic systems.

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13 p.

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OSTI as DE95016779

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  • Drexel symposium/quantum nonintegrability: quantum-classical correspondence, Philadelphia, PA (United States), Sep 1995

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  • Other: DE95016779
  • Report No.: LA-UR--95-2353
  • Report No.: CONF-9509203--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 104312
  • Archival Resource Key: ark:/67531/metadc622173

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  • August 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • April 21, 2016, 10:11 p.m.

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Zurek, W.H. & Pas, J.P. Why we don`t need quantum planetary dynamics, or on decoherence and the correspondence principle for chaotic systems, article, August 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc622173/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.