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Goldfishing by gauge theory
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2006 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 47, no 8Article in journal (Refereed) Published
Abstract [en]

A new solvable many-body problem of goldfish type is identified and used to revisit the connection between two different approaches to solvable dynamical systems. An isochronous variant of this model is identified and investigated. Alternative versions of these models are presented. The behavior of the alternative isochronous model near its equilibrium configurations is investigated, and a remarkable Diophantine result, as well as related Diophantine conjectures, are thereby obtained.

Place, publisher, year, edition, pages
2006. Vol. 47, no 8
Keyword [en]
calogero-moser system, interacting particles, hamiltonian-systems, external-field, motion, equations
URN: urn:nbn:se:kth:diva-15961DOI: 10.1063/1.2235035ISI: 000240237300018ScopusID: 2-s2.0-33748309024OAI: diva2:334003
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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