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

V. Karimipour

doi:10.1063/1.531907

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

高能物理 - 理论 2009-10-30 v1

作者: V. Karimipour

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

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.

关键词

integrable hamiltonian systems hamiltonian mechanics quantum hamiltonian simulation and dynamics

引用

@article{arxiv.hep-th/9604092,
  title  = {"A Solvable Hamiltonian System" Integrability and Action-Angle Variables},
  author = {V. Karimipour},
  journal= {arXiv preprint arXiv:hep-th/9604092},
  year   = {2009}
}

备注

12 pages, Latex, No Figures

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

摘要

关键词

引用

备注

相关论文