Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Chaotic Dynamics

arXiv:chao-dyn/9909040 (chao-dyn)
[Submitted on 30 Sep 1999 (v1), last revised 28 Feb 2002 (this version, v2)]

Title:Geometrical properties of Maslov indices in periodic-orbit theory

Authors:Ayumu Sugita
View PDF
Abstract: Maslov indices in periodic-orbit theory are investigated using phase space path integral. Based on the observation that the Maslov index is the multi-valued 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 n-repetition of the orbit is derived.
Comments: 18pages, 8figures, typos corrected
Subjects: Chaotic Dynamics (nlin.CD); High Energy Physics - Theory (hep-th)
Cite as: arXiv:chao-dyn/9909040
  (or arXiv:chao-dyn/9909040v2 for this version)
  https://doi.org/10.48550/arXiv.chao-dyn/9909040
Journal reference: Phys.Lett. A266 (2000) 321-330
Related DOI: https://doi.org/10.1016/S0375-9601%2899%2900876-2

Submission history

From: Ayumu Sugita [view email]
[v1] Thu, 30 Sep 1999 10:21:25 UTC (18 KB)
[v2] Thu, 28 Feb 2002 19:14:31 UTC (18 KB)
Full-text links:

Access Paper:

view license
Current browse context:
nlin.CD
< prev   |   next >
new | recent | 1999-09

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)