A new class of solvable many-body problems with constraints, associated with an exceptional polynomial subspace of codimension 2

DOI10.1088/1751-8113/40/27/F01zbMath1147.82004OpenAlexW2041257325MaRDI QIDQ3593311

Francesco Calogero, Daivd Gómez-Ullate

Publication date: 20 July 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/27/f01

zbMATH Keywords

many-body soluble models

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical equilibrium statistical mechanics (general) (82B05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Time-dependent polynomials with one multiple root and new solvable dynamical systems ⋮ Asymptotically isochronous systems ⋮ A new class of solvable dynamical systems

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