How to construct integrable Fokker–Planck and electromagnetic Hamiltonians from ordinary integrable Hamiltonians
- 1 August 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (8) , 1970-1975
- https://doi.org/10.1063/1.526865
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.Keywords
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