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Eigenvalue-Dynamics off the Calogero–Moser System

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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.

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Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden

    Joakim Arnlind & Jens Hoppe

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  1. Joakim Arnlind
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  2. Jens Hoppe
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Arnlind, J., Hoppe, J. Eigenvalue-Dynamics off the Calogero–Moser System. Letters in Mathematical Physics 68, 121–129 (2004). https://doi.org/10.1023/B:MATH.0000043320.41280.76

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