## Abstract

What will be if, given a pure stationary state on a compact hyperbolic surface, we start applying raising operator every ”adiabatic” second? It turns that during adiabatic time comparable to 1 wavefunction will change as a wave traveling with a finite speed (with respect to the adiabatic time), whereas the semiclassical measure of the system will undergo a controllable transformation possessing a simple geometric description. If adiabatic time goes to infinity then, by quantized Furstenberg Theorem, the system will become quantum uniquely ergodic.

Thus, infinite ascension of a closed system leads to quantum chaos.

Thus, infinite ascension of a closed system leads to quantum chaos.

Original language | English |
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Article number | 104053 |

Journal | Journal of Geometry and Physics |

Volume | 161 |

DOIs | |

State | Published - Mar 2021 |

## Scopus subject areas

- Mathematical Physics
- Geometry and Topology
- Physics and Astronomy (miscellaneous)