标题： 混沌共振态的左右Husimi表示：不变性与分解 显示英文标题

标题： Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization

摘要： 对于混沌散射系统，我们研究左-右Husimi表示，它结合了左和右共振态。 我们证明在相应的闭合经典动力学下，左-右Husimi表示在半经典极限下是不变的，我们称之为量子不变性。 此外，我们表明它可分解为经典多分形结构乘以普遍的量子涨落。 对于介质腔、三圆盘散射系统和量子映射的数值结果证实了量子不变性和分解。 显示英文摘要

摘要： For chaotic scattering systems we investigate the left-right Husimi representation, which combines left and right resonance states. We demonstrate that the left-right Husimi representation is invariant in the semiclassical limit under the corresponding closed classical dynamics, which we call quantum invariance. Furthermore, we show that it factorizes into a classical multifractal structure times universal quantum fluctuations. Numerical results for a dielectric cavity, the three-disk scattering system, and quantum maps confirm both the quantum invariance and the factorization.