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Various Aspects of Integrable Hamiltonian Systems

  • J. Moser
Chapter
Part of the Progress in Mathematics book series (PM, volume 8)

Abstract

In these informal lecture notes we discuss a number of integrable Hamiltonian systems which have surfaced recently in very different connections. It is our goal to discuss various aspects underlying the integrabil-ity of a system like that of group representation, isospectral deformation and geometrical considerations. Since this subject is still far from being understood or being systematic we discuss a number of examples which are seemingly disconnected. In fact, there are some rather unexpected connections like between the inverse square potential of Calogero (Section 4) and the Korteweg de Vries equation. Here we show a surprising new connection between the geodesics on an ellipsoid and Hill’s equation with finite gap potential.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • J. Moser
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityUSA

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