Maslov Indices and Monodromy

Details Maslov Indices and Monodromy Maslov Indices and Monodromy

2005-04-20

arxiv.org/abs/math-ph/0504063v2

J. Phys. A: Math. Gen. 38 (2005) L443-L447

Physics

Mathematical Physics

6 pages

Scientific paper

10.1088/0305-4470/38/24/L02

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.

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