A completely integrable Hamiltonian system
- 1 June 1996
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (6) , 2863-2871
- https://doi.org/10.1063/1.531536
Abstract
The dynamical system characterized by the Hamiltonian H(q,p)=∑j,k=1n pjpkf(q dj−qk) with f(x)=λ+μ cos(νx)+μ′ sin(ν‖x‖) is completely integrable. Here n is an arbitrary positive integer and λ,μ,μ′,ν are 4 arbitrary constants (λ and μ real, μ′ and ν both real or both imaginary).Keywords
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