Abstract
Integrable Hamiltonians of type are discussed. Using the parameters appearing in the Painlevé analysis we find that the integrable potentials for (Hénon-Heiles) and (Holt) are in one-to-one correspondence. Simple relations exist between the corresponding coefficients , and also the dimensions of the second invariants are found to be related. Quantum integrability is also discussed.
- Received 3 May 1983
DOI:https://doi.org/10.1103/PhysRevA.28.3670
©1983 American Physical Society