求解最一般双耦合谐振子精确能谱的方法

The Approach to Solve the Accurate Energy Spectrums of Common Double Coupled Harmonic Oscillators

通过对自变量的变换,将定态薛定谔方程化为标准形式,从而得到部分退耦合的哈密顿量.再利用波戈留波夫变换将耦合彻底解除,进而得到最一般双耦合谐振子的能谱.最后,讨论了由耦合引起的能量变化.该方法可推广至其它耦合形式谐振子体系能谱的求解.

The partly relieved coupled Hamilton was obtained based on changing the stationary Schrodinger equation into standard form through carrying on the transformation to independent variables.And then,energy spectrums of the common double coupled harmonic oscillators was presented with Bogoliubov transformation relieving thoroughly coupling.Lastly,the energy change produced by coupling was discussed.This method could be applied to solve other coupled harmonic oscillators.