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Letters in Mathematical Physics

, Volume 68, Issue 2, pp 121–129 | Cite as

Eigenvalue-Dynamics off the Calogero–Moser System

  • Joakim Arnlind
  • Jens Hoppe
Article

Abstract

By finding N(N− 1)/2 suitable conserved quantities, free motions of real symmetric N×N matrices X(t), with arbitrary initial conditions, are reduced to nonlinear equations involving only the eigenvalues of X – in contrast to the rational Calogero-Moser system, for which [X(0),Xd(0)] has to be purely imaginary, of rank one.

eigenvalue dynamics symmetric matrix integrable systems 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Joakim Arnlind
    • 1
  • Jens Hoppe
    • 1
  1. 1.Department of MathematicsRoyal Institute of TechnologyStockholmSweden

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