True Quantum Chaos? An Instructive Example

Berry, M. V.

doi:10.1007/978-3-642-76379-3_10

M. V. Berry³

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 58))

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Abstract

Any chaotic classical system can be transformed into a quantum system that preserves the chaos, because the classical Liouville equation involving 2N phase-space variables q,p has the form of a ‘Schrödinger equation’ with ‘coordinates’ Q={q,p}. The feature of this quantum system that allows chaos to persist is linearity of the ‘Hamiltonian’ in the 2N ‘momentum’ operators conjugate to Q.

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H.H. Wills Physics Laboratory, Tyndall Avenue, Bristol, BS8 1TL, UK
M. V. Berry

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M. V. Berry
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Editors and Affiliations

Yukawa Institute for Theoretical Physics, Kyoto University, 606, Kyoto, Japan
Yasuhisa Abe
Department of Physics, Kyoto University, 606, Kyoto, Japan
Hisashi Horiuchi & Kenichi Matsuyanagi &

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Berry, M.V. (1992). True Quantum Chaos? An Instructive Example. In: Abe, Y., Horiuchi, H., Matsuyanagi, K. (eds) New Trends in Nuclear Collective Dynamics. Springer Proceedings in Physics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76379-3_10

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DOI: https://doi.org/10.1007/978-3-642-76379-3_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76381-6
Online ISBN: 978-3-642-76379-3
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