Bi-Hamiltonian aspects of the separability of the Neumann system

2002/02/11 by Marco Pedroni, Pedroni, Marco · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0202023

LaTeX file, 12 pages. Talk given at the NEEDS2001 Conference

arxiv created 2002/06/24 · arxiv updated 2009/11/30

Abstract

The Neumann system on the 2-dimensional sphere is used as a tool to convey some ideas on the bi-Hamiltonian point of view on separation of variables. It is shown that, from this standpoint, its separation coordinates and its integrals of motion can be found in a systematic way.

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