Abstract
Integrable Hamiltonians with velocity-dependent potentials, including those of Fokker–Planck-type H=1/2(p2x+p2y)+Kxpx+Kypy, are constructed from integrable Hamiltonians of type H=1/2(p2x+p2y)+V(x,y) using certain canonical and noncanonical transformations. Some of the Hamiltonians obtained this way are integrable only for zero energy. Candidates for the Φ potential, which is of interest for Fokker–Planck models, are constructed in several cases.
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