@article{GossonGosson2006,
  author    = {Gosson, Maurice A. de and Gosson, Serge M. de},
  title     = {Extension of the Conley-Zehnder index, a product formula, and an application to the Weyl representation of metaplectic operators},
  series = {Journal of mathematical physics},
  volume    = {47},
  journal   = {Journal of mathematical physics},
  number    = {12},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {0022-2488},
  doi       = {10.1063/1.239066},
  pages     = {15},
  year      = {2006},
  abstract  = {The aim of this paper is to express the Conley-Zehnder index of a symplectic path in terms of an index due to Leray and which has been studied by one of us in a previous work. This will allow us to prove a formula for the Conley-Zehnder index of the product of two symplectic paths in terms of a symplectic Cayley transform. We apply our results to a rigorous study of the Weyl representation of metaplectic operators, which plays a crucial role in the understanding of semiclassical quantization of Hamiltonian systems exhibiting chaotic behavior.},
  language  = {en}
}