三维各向异性耦合谐振子体系的非形式性严格波函数  

Non-form Exact Wave Function of Three Dimensional Anisotropy Coupled Harmonic Oscillator

作　　者：焦婧[1] 凌瑞良[1] 

机构地区：[1]常熟理工学院物理与电子工程学院,江苏常熟215500

出　　处：《常熟理工学院学报》2011年第4期14-22,共9页Journal of Changshu Institute of Technology

摘　　要：通过三次"保对易"辛变换,解决了三维各向异性耦合谐振子哈密顿量的对角化,求出了体系量子化能谱和形式性波函数,并具体讨论了两种特殊情况下相应的非形式性精确波函数.By means of quadratic form theory,the authors of the paper succeed in working out the diagonalization of Hamiltonian for three dimensional anisotropic coupled harmonic oscillators,though three symplectic transformations of maintaining the commutation relations do not change.The quantization energy spectrum and the exact of system wave function are given.

关 键 词：各向异性 对角化 保对易 正交矩阵 精确波函数 

分 类 号：O413.1[理学—理论物理]