IEO方法在求解哈密顿量能谱中的应用

Application of IEO method to solving energy spectrum of hamiltonian

利用IEO方法,通过选取合适的不变本征算符,使之满足所谓的"本征算符方程",其本征值与体系的能隙对应;从而直接、方便地推导出体系的能谱.本文以有外场时双原子分子体系和光场非线性相互作用的两个哈密顿为例,介绍IEO方法在分子与原子物理中的应用.

By introducing the IEO method and selecting the appropriate invariant eigenoperator, we obtain an invariant eigenoperator function, from which we can derive the corresponding eigenvalue, which is related with the energy level gap of the interesting Hamihonian. Thus we derive the spectrums of this system directly and conveniently. In order to test the present method, we take two examples for a diatomic molecules system with extra field and an optical nonlinear interaction Hamiltonian, and then obtain their corresponding energy level gaps.