A solvable Hamiltonian system: Integrability and action-angle variables
نویسندگان
چکیده
منابع مشابه
Integrability and Action-Angle Variables
We prove that the dynamical system charaterized by the Hamiltonian H = λN ∑N j pj+μ ∑N j,k (pjpk) 1 2{cos[ν(qj−qk)]} proposed and studied by Calogero [1,2] is equivalent to a system of non-interacting harmonic oscillators. We find the explicit form of the conserved currents which are in involution. We also find the action-angle variables and solve the initial value problem in simple form. 2
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531907