Integrable potentials with logarithmic integrals of motion

DOI10.1088/0305-4470/21/18/010zbMath0653.70002OpenAlexW1981768392MaRDI QIDQ3799675

George Voyatzis, Simos Ichtiaroglou

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1088/0305-4470/21/18/010

zbMATH Keywords

second invariantplanar integrable potentials

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Statics (70C20)

Related Items

Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system, An integrable three-particle system, One-dimensional nonautonomous dynamical systems with exact transcendental invariants, Integrable three-particle systems, hidden symmetries and deformations of the Calogero–Moser system, Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach