论文标题
无限提升限制：肉眼混乱
Infinite ascension limit: horocyclic chaos
论文作者
论文摘要
如果鉴于紧凑的双曲线表面上的纯固定状态，我们会开始在每$ \ hbar $“绝热”第二秒开始应用升高的操作员呢？它的变化是，在绝热时间与1波函数相当的情况会随着有限速度行驶（相对于绝热时间）而变化，而系统的半经典度量将经历可控制的转换。如果绝热时间流向无穷大，则通过量化的furstenberg定理，该系统将成为量子独特的奇异性。因此，封闭系统的无限提升会导致量子混乱。
What will be if, given a pure stationary state on a compact hyperbolic surface, we start applying raising operator every $\hbar$ "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. 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.
