Geometrical properties of Maslov indices in periodicorbit theory
Abstract
The Maslov indices in periodicorbit theory are investigated using the phasespace path integral. Based on the observation that the Maslov index is the multivalued function of the monodromy matrix, we introduce a generalized monodromy matrix in the universal covering space of the symplectic group and show that this index is uniquely determined in this space. The stability of the orbit is shown to determine the parity of the index, and a formula for the index of the nrepetition of the orbit is derived.
 Publication:

Physics Letters A
 Pub Date:
 February 2000
 DOI:
 10.1016/S03759601(99)008762
 arXiv:
 arXiv:chaodyn/9909040
 Bibcode:
 2000PhLA..266..321S
 Keywords:

 Trace formula;
 Maslov index;
 Symplectic group;
 Nonlinear Sciences  Chaotic Dynamics;
 High Energy Physics  Theory
 EPrint:
 18pages, 8figures, typos corrected