On the canonically invariant calculation of Maslov indices

URN to cite this document:: urn:nbn:de:bvb:355-epub-16578
DOI to cite this document:: 10.5283/epub.1657

Pletyukhov, Mikhail ; Brack, Matthias

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Date of publication of this fulltext: 05 Aug 2009 13:30

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Abstract

After a short review of various ways to calculate the Maslov index appearing in semiclassical Gutzwiller type trace formulae, we discuss a coordinate-independent and canonically invariant formulation recently proposed by A Sugita (2000, 2001). We give explicit formulae for its ingredients and test them numerically for periodic orbits in several Hamiltonian systems with mixed dynamics. We ...