Waves in Pseudorandom Systems

伪随机系统中的波

• 批准号: 9114328
• 负责人: Richard Prange
• 金额: $ 31.2万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-11-01 至 1995-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9114328&HistoricalAwards=false
• 关键词: Waves; Pseudorandom; Systems

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.

研究方向是量子混沌，即研究低维的波系，其中eikonal（经典）极限是混沌的。这个领域是高度跨学科的，因为化学、分子物理、原子物理、凝聚态物理、器件工程等领域的许多有趣的基础和技术重要问题都与正在进行的工作有关。在许多情况下，量子混沌问题可以用伪随机势中的波的形式来表述，这与随机势和不相称势中的波的相关问题联系起来。量子混沌是一个令人兴奋的跨学科领域，它将经典非线性动力系统的行为与量子力学相结合。甚至不清楚这两个高度不同的概念应该如何合并以提供物理系统的模型。目前的研究有助于这一领域的基础，特别是因为它涉及到凝聚态物理，并开发了实际系统的模型。