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Quantum ergodicity and eigenvalue problems for plane polygons

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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

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Abstract

With reference to our previous characterization of quantum ergodicity and recent results on classical billiards, we conjecture a special form for Poisson's summation formula in the case of rational polygons. This special form allows us to give a precise formulation of an algorithm leading to the expression of the corresponding eigenvalues.

also GNSM-CISM.

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Author information

Authors and Affiliations

  1. Dipartimento di Fisica - Sezione di Fisica Teorica, Università di Parma, 43100, Parma, Italy

    M. Pauri & A. Scottia

  2. I.N.F.N., Sezione di Milano, Gruppo Collegato di Parma, Italy

    A. Scottia

Authors
  1. M. Pauri
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  2. A. Scottia
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Editor information

Victor V. Dodonov Vladimir I. Man'ko

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© 1991 Springer-Verlag

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Pauri, M., Scottia, A. (1991). Quantum ergodicity and eigenvalue problems for plane polygons. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_141

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  • DOI: https://doi.org/10.1007/3-540-54040-7_141

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54040-3

  • Online ISBN: 978-3-540-47363-3

  • eBook Packages: Springer Book Archive

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