一维无限深势阱是量子力学中的重要模型，但其势能在边界上跃变，从而导致势能及波函数在跳跃点的导数无法确定．本文从连续非线性谐振子模型出发，采用有限差分法计算一维非线性谐振子能量本征值与本征函数，并将其与一维无限深势阱能量本征函数与本征值进行比较，验证一维无限深势阱是高阶非线性谐振子的渐近极限．

The onedimensional infinite square well is an important model in quantum mechanics. However, its potential jumps at the boundaries, which leads to undefined derivatives of both the potential and the wave function at these points. In this paper, we start with the anharmonic oscillator model, use the finite difference method to calculate theeigenvalues and eigenfunctions of the onedimensional anharmonic oscillator, and then compare the results with the eigenfunctions and eigenvalues of the onedimensional infinite square well. We prove that the onedimensional infinite square well is the asymptotic limit of the higherorder anharmonic oscillator.