The quantum spectra analysis of the circular billiards in wells  

作　　者：张延惠 张丽琴 徐学友 葛美华 林圣路 杜孟利 

机构地区：[1]College of Physics and Electronics, Shandong Normal University, Jinan 250014, China [2]Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Chinese Physics B》2006年第3期502-506,共5页中国物理B（英文版）

摘　　要：We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two arbitrary points in the well. We study the correspondence between quantum spectra and classical orbits in the circular, 1/2 circular and 1/4 circular wells using the analytic and numerical methods. We find that the peak positions in the Fourier- transformed quantum spectra match accurately with the lengths of the classical orbits. These examples show evidently that semi-classlcal method provides a bridge between quantum and classical mechanics.We use a recently defined quantum spectral function and apply the method of closed-orbit theory to the 2D circular billiard system. The quantum spectra contain rich information of all classical orbits connecting two arbitrary points in the well. We study the correspondence between quantum spectra and classical orbits in the circular, 1/2 circular and 1/4 circular wells using the analytic and numerical methods. We find that the peak positions in the Fourier- transformed quantum spectra match accurately with the lengths of the classical orbits. These examples show evidently that semi-classlcal method provides a bridge between quantum and classical mechanics.

关 键 词：circular billiard closed-orbit theory quantum spectra function Fourier-transformed spectra 

分 类 号：O413.1[理学—理论物理]