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arXiv · 2410.08171

Using Lagrangian descriptors to calculate the Maslov index of periodic orbits

J. Montes·F. J. Arranz·F. Borondo
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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.

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J. Montes, F. J. Arranz, F. Borondo. 2024-10-10. Using Lagrangian descriptors to calculate the Maslov index of periodic orbits. https://doi.org/10.1103/physreve.110.014213

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