Maslov Indices and Monodromy

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We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary the resulting restrictions on the monodromy matrix are derived.
6 pages

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Mathematical Physics, Exactly Solvable and Integrable Systems, 37J35; 81S10; 53D12

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http://salesiana.dossiersoluciones.com/handle/123456789/58046

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0504063
 http://arxiv.org/abs/math-ph/0504063
 J. Phys. A: Math. Gen. 38 (2005) L443-L447
 doi:10.1088/0305-4470/38/24/L02

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arXiv