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Completely integrable Hamiltonian systems and the separation of variables

  • Session II — Completely Integrable Systems and Group Theory
  • Conference paper
  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 180))

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Abstract

A group theoretical approach to the separation of variables is applied to the Hamilton-Jacobi and Laplace-Beltrami equation in the hermitian hyperbolic space HH(2). Symmetry reduction by maximal abelian subgroups of the isometry group SU(2,1) leads to completely integrable systems defined in a Minkowski space and involving nontrivial interactions.

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References

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Author information

Authors and Affiliations

  1. CRMA, Université de Montréal, H3C 3J7, Montréal, Québec, Canada

    P. Winternitz

Authors
  1. P. Winternitz
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Editor information

M. Serdaroğlu E. Ínönü

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© 1983 Springer-Verlag

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Winternitz, P. (1983). Completely integrable Hamiltonian systems and the separation of variables. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_18

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  • DOI: https://doi.org/10.1007/3-540-12291-5_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12291-3

  • Online ISBN: 978-3-540-39621-5

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