The Quantized Baker's Map and Its Long Time Behavior (Physics)

在经典力学中，离散保面积映射给出 混沌运动的信息。 量子中对应的映射 系统是一个酉变换，给出了系统的演化。 以离散时间步长表示。 巴拉兹和他的合作者， Voros，讨论了两个这样的地图，地图上的运动 伪球，一个相对非物理的系统，和量子化的 贝克的地图 建议完成这项工作， 特别是看大的时间行为， 到经典极限，来测试 经典和量子系统中的混沌运动。

In classical mechanics discrete area preserving maps give information on chaotic motion. The corresponding map in quantum systems is a unitary transformation giving the evolution of the state in a discrete time step. Balazs, and his collaborator, Voros, have discussed two such maps, the map for motion on a pseudosphere, a relatively nonphysical system, and the quantized Baker's map. It is proposed to complete this work, in particular to look at the large time behavior, and the passage to the classical limit, to test the correspondence between chaotic motion in the classical and quantum system.