摘要
研究了二维sinai台球的经典与量子的对应,运用闭合轨道理论及定态展开方法计算了傅立叶变换的量子谱.把傅立叶变换后的量子谱中峰的位置与其所对应的经典轨道长度作对照,我们发现两者之间存在着对应关系.为我们理解量子混沌性提出了新的线索.
The correspondence between the quantum and classical mechanics in the two- dimensional sinai billiard is investigated by using the closed- orbit theory and the Expansion Method for Stationary States （EMSS） to calculate the quantum spectra. By comparing the Fourier - transformed spectra with the classical orbits, we find that the peaks＇ positions in the quantum spectra match with the lengths of the classical orbits well. This provides us a new method to understand behaviour of quantum chaos.
出处
《山东师范大学学报（自然科学版）》
CAS
2006年第3期64-66,共3页
Journal of Shandong Normal University(Natural Science)
基金
国家自然科学基金资助项目(10374061)
关键词
sinai台球
量子谱
定态展开方法
闭合轨道理论
量子混沌
quantum sinai billiard
closed- orbit theory
quantum spectra
the Expansion Method for Stationary States
quantum chaos
