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Geometry of Quadrics and Spectral Theory

In: The Chern Symposium 1979

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  • J. Moser

    (Courant Institute of Mathematical Sciences)

Abstract

In this paper we are concerned with integrable Hamiltonian systems. This concept goes back to classical analytical dynamics of the last century. Briefly these are nonlinear systems of ordinary differential equations described by a Hamiltonian function and possessing sufficiently many integrals (or conserved quantities) so that they are more or less explicitly solvable by quadrature. Therefore these systems played a crucial role in the last century before more qualitative methods for differential equations were developed at the turn of the century. Subsequently interest in these systems decreased, partly due to the realization that the existence of global integrals can be established only for exceptional Hamiltonian systems.

Suggested Citation

  • J. Moser, 1980. "Geometry of Quadrics and Spectral Theory," Springer Books, in: W.-Y. Hsiang & S. Kobayashi & I. M. Singer & J. Wolf & H.-H. Wu & A. Weinstein (ed.), The Chern Symposium 1979, pages 147-188, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8109-9_7
    DOI: 10.1007/978-1-4613-8109-9_7
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