Using Lagrangian descriptors to calculate the Maslov index of periodic orbits
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909344465944576 |
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| author | Montes, J. Arranz, F. J. Borondo, F. |
| author_facet | Montes, J. Arranz, F. J. Borondo, F. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_08171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Using Lagrangian descriptors to calculate the Maslov index of periodic orbits Montes, J. Arranz, F. J. Borondo, F. Chaotic Dynamics Quantum Physics 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. |
| title | Using Lagrangian descriptors to calculate the Maslov index of periodic orbits |
| topic | Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2410.08171 |