一般双模双耦合谐振子能谱的精确解

The Exact Solution of the Energy Spectrum of Double Module Double Coupling Harmonic Oscillator

在占有数表象中通过幺正变换将质量和频率均不相同的双模双耦合谐振子体系的哈密顿量对角化,得到了双模双耦合谐振子体系能谱的精确解,给出了求解双模耦合谐振子本征能谱的一般方法.

By using unitary transformation, the Hamihonian of double module double coupling harmonic oscillator with different mass and frequency is diagonalized in occupation number representation. The exact solution of the energy, spectrum of the double module double coupling harmonic oscillator is given. And the general method for calculating its eigenenergy spectrum is obtained.