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Goldfishing by gauge theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 2006Embargo end date: 01 Jan 2006 Italy Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 47 (issn: 0022-2488, eissn: 1089-7658,

Authors: CALOGERO, Francesco; LANGMANN E.;

doi: 10.1063/1.2235035 , 10.48550/arxiv.math-ph/0605077

arXiv: http://arxiv.org/abs/math-ph/0605077

handle: 11573/13191

Goldfishing by gauge theory

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Abstract

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.

Country

Italy

Related Organizations

Sapienza University of Rome
Italy
National Institute for Nuclear Physics
Italy

Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, 37J35, 70H06, 11D99, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

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