原子与分子物理学报2007，Vol.24Issue(3)：523-528,6.
矩形弹子球中的量子谱和经典周期轨道
Quantum spectra and classical periodic orbits in a rectangular billiard
摘要
Abstract
By using the representation of SU(2) coherent states,we construct the wave functions related to the classical periodic orbits in the 2D rectangular billiard.The relation between the classical periodic orbits and the quantum wave functions provide a more physical description of a phenomenon than the true eigenstates in mesoscopic systems.Furthermore,by using the periodic orbit theory,we calculate the Fourier transform ρ(L) of the quantum spectra of the two-dimensional rectangular billiard system.The resulting of the peaks in plots of |ρN(L)|2 versus L are compared to the lengths of the classical periodic orbits of the particle moving in the 2D rectangular cavity.The agreement of the peaks between |ρN(L)|2 and the length of the classical periodic orbit suggests the correspondence of quantum mechanics and classical mechanics.关键词
弹子球/周期轨道理论/量子谱Key words
billiard/periodic orbit theory/quantum spectra分类
数理科学引用本文复制引用
王德华,冯攸永,王美山,于永江,杨传路..矩形弹子球中的量子谱和经典周期轨道[J].原子与分子物理学报,2007,24(3):523-528,6.基金项目
国家自然科学基金(10604045) （10604045）
鲁东大学博士科研启动基金(202-23000301) （202-23000301）
