零级Hamilton量二重简并的量子体系能级微扰法研究

Study of the Perturbation Method on the Double Degenerate Quantum System of Zero-order Hamiltonian

利用微扰法解决了零级Hamilton量二重简并的量子体系能级问题,利用零级能级E_n^(0)及波函数求解出了二重简并体系能级的二级近似解,并对给定H'矩阵元应用实例进行了分析。结论表明微扰法作为典型的一种近似方法可以有效的解决量子力学当中的相关能级求解问题。

Using the perturbation method,the energy level problem of zero-order Hamiltonian at the double degeneracy quantum system was solved.And the second-order approximate solution of the energy level of the two-fold degeneracy system was given for zero-order energy level and wave function to solve.Finally,an analysis of the application example of given matrix element was carried out.The results show that the perturbation method,as a typical approximation method,can effectively solve the related energy level problem in quantum mechanics.