三维各向异性耦合谐振子哈密顿量的对角化

Diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator

根据物理量的可测实在性,应用二次型理论,—般地解决了3个质量与3个频率均不相同、坐标和动量各自具有全耦合谐振子系统的哈密顿量的可对角化问题,并具体给出了哈密顿量对角化的标准形.

By means of the mensurability of physical quantity and the quadratic form theory,a general method of diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator is proposed,and the Hamiltonian diagonal standard form is given.