Integrable and solvable many-body problems in the plane via complexification

DOI10.1063/1.532570zbMath0940.70006OpenAlexW2089388858MaRDI QIDQ4701483

Francesco Calogero

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532570

zbMATH Keywords

complexificationNewtonian equations of motionone-dimensional many-body problemrotation-invariant equations of motiontwo-dimensional many-body problem

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items (6)

Goldfishing: A new solvable many-body problem ⋮ A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem ⋮ A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem ⋮ The neatest many-body problem amenable to exact treatments (a ``goldfish?) ⋮ New solvable many-body problems in the plane ⋮ Novel solvable variants of the goldfish many-body model

Cites Work

• Three solvable many-body problems in the plane
• Integrable time-discretization of the Ruijsenaars-Schneider model
• An integrable Hamiltonian system
• Motion of strings in the plane: A solvable model. I
• A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
• New integrable systems related to the relativistic Toda lattice
• A solvable N-body problem in the plane. I

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