无退化微扰公式递推形式在非简谐振子近似计算中的应用

The Application of the Recursion Form of Nondegenerate Perturbation Formula to the Calculation of Eigenstates of Nonlinear Harmoic Oscillator

本文给出了无退化微扰公式的递推形式，并将其应用于非简谐振子问题，考察了微扰项Ｗ～Ｘ￣ｍ（ｍ＝１，２，４）对振子能级的影响。计算结果表明，在微扰计算收敛情况下，利用该递推公式可以在给定的精度下得到与严格解一致的结果。

A recursion form of nondegenerate perturbation formula is presented in the paper.As illustuation, it has been applied to the calculation of eigenstates of the nonlinear harmonicoscillator. We found that the recursion form can be applied conveniently to the computercalculation of nondegenerate perturbation.