Using Lagrangian descriptors to calculate the Maslov index of periodic orbits
Chaotic Dynamics
2024-10-11 v1 Quantum Physics
Abstract
The Maslov index of a periodic orbit is an important piece in the semiclassical quantization of non-integrable systems, while almost all existing techniques that lead to a rigorous calculation of this index are elaborate and mathematically demanding. In this paper, we describe a straightforward technique, for systems with two degrees of freedom, based on the Lagrangian descriptors. Our method is illustrated by applying it to the two-dimensional coupled quartic oscillator.
Keywords
Cite
@article{arxiv.2410.08171,
title = {Using Lagrangian descriptors to calculate the Maslov index of periodic orbits},
author = {J. Montes and F. J. Arranz and F. Borondo},
journal= {arXiv preprint arXiv:2410.08171},
year = {2024}
}
Comments
9 pages, 5 figures