Periodic Orbit Quantization by Signal Processing Methods

通过信号处理方法进行周期轨道量化

• 批准号: 0071742
• 负责人: Howard Taylor
• 金额: $ 25.5万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-15 至 2006-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0071742&HistoricalAwards=false
• 关键词: Periodic; Orbit; Quantization; Signal; Processing

The quantum-classical correspondence of non-linear dynamical systems is investigated using signal-processing methods. This approach has been shown to be capable of extracting long-time quantum information from short-time periodic orbits. The theory is applied to a number of problems of current interest. In addition, a small amount of effort is devoted to looking at Pade summation techniques to accomplish the needed summations.

利用信号处理方法研究了非线性动力学系统的量子-经典对应。 这种方法已经被证明能够从短时间周期轨道中提取长时间量子信息。 该理论被应用于当前感兴趣的一些问题。 此外，少量的努力致力于寻找帕德求和技术，以完成所需的求和。