Goldfishing by gauge theory

DOI10.1063/1.2235035zbMath1112.70006arXivmath-ph/0605077OpenAlexW2034026209MaRDI QIDQ3441996

Edwin Langmann, Francesco Calogero

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0605077

zbMATH Keywords

equilibriumisochronous modelDiophantine conjectures

Mathematics Subject Classification ID

(n)-body problems (70F10) Diophantine equations (11D99)

Related Items (6)

Goldfishing: A new solvable many-body problem ⋮ Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type ⋮ Isochronous Dynamical System and Diophantine Relations I ⋮ A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants ⋮ New solvable dynamical systems ⋮ A new class of solvable dynamical systems

Cites Work

• Matrix analogues of elliptic functions
• Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories
• Novel solvable extensions of the goldfish many-body model
• Nonlinear harmonic oscillators
• New Completely Integrable Multiparticle Dynamical Systems
• Gauge Theory Approach Towards an Explicit Solution of the (Classical) Elliptic Calogero-Moser System
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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