Waves in Pseudorandom Systems

将对量子混沌进行研究，这是对 波系统在低维程函（经典）极限 是混乱的。 这个领域是高度跨学科的，因为许多 有趣的基本和技术上重要的问题， 化学，分子物理，原子物理，凝聚态 物理学、器件工程学等与正在进行的工作有关。 在许多情况下，量子混沌中的问题可以以下列形式出现： 波在伪随机势，这使得连接到 随机势和无公度势中波的相关问题。 %%% 量子混沌是一个令人兴奋的交叉学科领域， 结合了经典非线性动力系统的行为， 量子力学 目前还不清楚这两个高度 不同的概念应该合并，以提供物理模型， 系统. 目前的研究有助于建立 这个领域，特别是当它涉及凝聚态物理学时， 并为真实的系统开发模型。

Research will be conducted on quantum chaos, which is the study of wave systems in low dimension where the eikonal (classical) limit is chaotic. This field is highly interdisciplinary since many intriguing fundamental and technologically important problems in chemistry, molecular physics, atomic physics, condensed matter physics, device engineering, etc, are related to work being done. In many cases problems in quantum chaos can be cast in the form of waves in pseudo-random potentials, which makes a connection to related problems of waves in random and incommensurate potentials. %%% Quantum chaos is an exciting cross-disciplinary field which combines the behavior of classical nonlinear dynamical systems with quantum mechanics. It is even unclear how these two highly disparate concepts should be merged to provide models for physical systems. The present research contributes to the foundations of this field, particularly as it relates to condensed matter physics, and develops models for real systems.