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.
Original languageEnglish
Article number104053
JournalJournal of Geometry and Physics
StatePublished - Mar 2021

Scopus subject areas

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

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