LETTER TO THE EDITOR: Maslov indices and monodromy
Abstract
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.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- June 2005
- DOI:
- 10.1088/0305-4470/38/24/L02
- arXiv:
- arXiv:math-ph/0504063
- Bibcode:
- 2005JPhA...38L.443D
- Keywords:
-
- 37J35 81S10 53D12;
- Mathematical Physics;
- Exactly Solvable and Integrable Systems;
- 37J35;
- 81S10;
- 53D12
- E-Print:
- 6 pages