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Eigenvalue dynamics, Follytons and large N limits of matrices
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2006 (English)In: Applications of Random Matrices in Physics / [ed] Brezin, E; Kazakov, V; Serban, D; Wiegmann, P; Zabrodin, A, DORDRECHT: SPRINGER , 2006, Vol. 221, 89-94 p.Conference paper, Published paper (Refereed)
Abstract [en]

How do the eigenvalues of a “free” hermitian N × N matrix X(t) evolve in time? The answer is provided by the rational Calogero-Moser systems [5, 13] if (!) the initial conditions are chosen such that i[X(0),Ẋ(0)] has a non-zero eigenvalue of multiplicity N–1; for generic X(0),Ẋ(0) the question remained unanswered for 30 years.

Place, publisher, year, edition, pages
DORDRECHT: SPRINGER , 2006. Vol. 221, 89-94 p.
Series
NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY, ISSN 1568-2609 ; 221
Keyword [en]
calogero-moser system, quantization, manifolds
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-42127DOI: 10.1007/1-4020-4531-X_3ISI: 000236908000003ISBN: 1-4020-4529-8 (print)OAI: oai:DiVA.org:kth-42127DiVA: diva2:445990
Conference
Conference of the NATO-Advanced-Study-Institute on Application of Random Matrices in Physics. Les Houches, FRANCE. JUN 06-25, 2004
Note
QC 20111005Available from: 2011-10-05 Created: 2011-10-05 Last updated: 2011-10-05Bibliographically approved

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CiteExportLink to record
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