三维各向异性耦合谐振子体系的量子化能谱与精确波函数

Quantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator

利用二次型理论,通过三次保对易的辛变换,成功解决了三维各向异性耦合谐振子哈密顿量的对角化问题.进一步,给出了体系的量子化能谱和精确波函数.

By the quadratic form theory,we succeed in diagonalizing the Hamiltonian for three-dimensional anisotropic coupled harmonic oscillators,through three symplectic transformations keeping the commutation relations unchanged.The quantized energy spectrum and the exact wave function of the system are given.