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Eigenvalue-Dynamics off the Calogero–Moser System
Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden.ORCID iD: 0000-0002-8727-2169
Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden.
2004 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 68, p. 121-129Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2004. Vol. 68, p. 121-129
Keywords [en]
eigenvalue dynamics, symmetric matrix, integrable systems.
National Category
Mathematics Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-122361DOI: 10.1023/B:MATH.0000043320.41280.76OAI: oai:DiVA.org:liu-122361DiVA, id: diva2:865856
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2017-12-01

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Arnlind, Joakim

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