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Quantum Chaos: Lessons from Disordered Metals

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Supersymmetry and Trace Formulae

Part of the book series: NATO ASI Series ((NSSB,volume 370))

Abstract

The quantum description of systems which are chaotic in their classical limit is the subject of “Quantum Chaos”. A wide variety of physical systems fall into this category. Amongst those most commonly studied are the neutron resonances of complex atomic nuclei1, Rydberg atoms in strong magnetic fields2, and electrons in semiconducting nanostructures (known as “quantum dots”3). In contrast to integrable systems, eigenstates of quantum chaotic structures are characterized solely by their energy rather than by a set of quantum numbers. Therefore, a useful description of chaotic systems is a statistical one. It is the development of a framework in which the statistical properties of general quantum chaotic systems can be studied which forms the focus of these lectures.

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Author information

Authors and Affiliations

  1. Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, UK

    A. Altland, C. R. Offer & B. D. Simons

Authors
  1. A. Altland
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  2. C. R. Offer
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  3. B. D. Simons
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Editor information

Editors and Affiliations

  1. University of Birmingham, Birmingham, UK

    Igor V. Lerner

  2. University of Bristol and Hewlett-Packard Laboratories, Bristol, UK

    Jonathan P. Keating

  3. University of Cambridge, Cambridge, UK

    David E. Khmelnitskii

  4. L. D. Landau Institute for Theoretical Physics, Moscow, Russia

    David E. Khmelnitskii

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Altland, A., Offer, C.R., Simons, B.D. (1999). Quantum Chaos: Lessons from Disordered Metals. In: Lerner, I.V., Keating, J.P., Khmelnitskii, D.E. (eds) Supersymmetry and Trace Formulae. NATO ASI Series, vol 370. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4875-1_2

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  • DOI: https://doi.org/10.1007/978-1-4615-4875-1_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7212-7

  • Online ISBN: 978-1-4615-4875-1

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