量子力学中近似法与递推及迭代计算

阐述了递推与迭代计算在微扰论和变分法中的综合应用,介绍了微扰论的递推与迭代形式和变分法的迭代算法,利用微扰论的递推与迭代形式,便于在计算机上编程进行数值计算,求解体系的任意级近似,得到与精确解一致的结果;利用变分法的迭代算法,可以求解除体系基态能量和基态波函数以外的其他能量和相应波函数的近似值.

THE APPROXIMATE METHOD AND RECURRENCE AND ITERATION CALCULATION IN QUANTUM MECHANICS

The comprehensive application of recurrence and iteration calculation in the perturbation theory and variation method is discussed.The recurrence and iteration forms of perturbation theory and iteration calculation of variation method are also introduced in this paper.By using these forms,it is easy to calculate any level approximateion values of quantum system by computer,which is same as the exact solutions.By using the iteration calculation of variation method,the approximation values of other energy and corresponding wave function besides base energy and wave function of quantum system is also obtained easily.