Mathematical Physics
[Submitted on 8 Jul 2025
]
Title: Mixed dynamics from the classical and quantum ergodic hierarchy
Title: 从经典和量子遍历层次中的混合动力学
Abstract: 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.
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