Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula
De Gosson, Maurice ; De Gosson, Serge
arXiv, 0508051 / Harvested from arXiv
Text on arXiv
The aim of this paper is to give an explicit formula for the calculation of the Gutzwiller--Maslov index of a Hamiltonian periodic orbit. We identify the index appearing in Gutzwiller's trace formula with a non-trivial extension of the Conley--Zehnder index. This index can be related to the usual Maslov index using the theory of the metaplectic group and the formalism of the Arnol'd--Leray--Maslov index developed in previous work, and is extended to symplectic paths with arbitrary endpoint.
Publié le : 2005-08-25
Classification:  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics,  37J05, 53D12, 53Z05, 81S30 
@article{0508051,
     author = {De Gosson, Maurice and De Gosson, Serge},
     title = {Extension of the Conley--Zehnder Index and Calculation of the
  Maslov-Type Index Intervening in Gutzwiller's Trace Formula},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508051}
}

De Gosson, Maurice; De Gosson, Serge. Extension of the Conley--Zehnder Index and Calculation of the
  Maslov-Type Index Intervening in Gutzwiller's Trace Formula. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508051/