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.
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
关键词
各向异性
对角化
保对易
正交矩阵
精确波函数
anisotropy
diagonalization
maintaining the commutation relation
orthogonal matrix
exact wave function
