Mixed dynamics from the classical and quantum ergodic hierarchy
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916831992741888 |
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| author | Gomez, Ignacio S. Holik, Federico H. |
| author_facet | Gomez, Ignacio S. Holik, Federico H. |
| contents | Based on the classical and quantum ergodic hierarchy, a framework for mixed systems with a phase space composed by two uncorrelated integrable and chaotic regions is presented. It provides some features of mixed systems connecting the intuitive notion of a mixed phase space with the mixing level of the ergodic hierarchy. The formalism is illustrated with the kicked rotator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed dynamics from the classical and quantum ergodic hierarchy Gomez, Ignacio S. Holik, Federico H. Mathematical Physics Based on the classical and quantum ergodic hierarchy, a framework for mixed systems with a phase space composed by two uncorrelated integrable and chaotic regions is presented. It provides some features of mixed systems connecting the intuitive notion of a mixed phase space with the mixing level of the ergodic hierarchy. The formalism is illustrated with the kicked rotator. |
| title | Mixed dynamics from the classical and quantum ergodic hierarchy |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2507.05603 |