"A Solvable Hamiltonian System" Integrability and Action-Angle Variables

Details "A Solvable Hamiltonian System" Integrability and Action-Angle Variables "A Solvable Hamiltonian System" Integrability and Action-Angle Variables

1996-04-17

arxiv.org/abs/hep-th/9604092v1

J.Math.Phys. 38 (1997) 1577-1582

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, No Figures

Scientific paper

10.1063/1.531907

We prove that the dynamical system charaterized by the Hamiltonian $ H = \lambda N \sum_{j}^{N} p_j + \mu \sum_{j,k}^{N} {{(p_j p_k)}^{1\over 2}} \{ cos [ \nu ( q_j - q_k)] \} $ proposed and studied by Calogero [1,2] is equivalent to a system of {\it 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.

Affiliated with

Also associated with

No associations

Rating

"A Solvable Hamiltonian System" Integrability and Action-Angle Variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with "A Solvable Hamiltonian System" Integrability and Action-Angle Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and "A Solvable Hamiltonian System" Integrability and Action-Angle Variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-600242