厄密多项式与拉盖尔多项式的关系

RELATIONSHIP BETWEEN HERMITE POLYNOMIAL AND LAGUERRE POLYNOMIAL

通过简单的变换将厄密方程和拉盖尔方程相互联系，并给出它们的正则解拉盖尔多项式与厄密多项式之间的关系及谐振子本征函数的拉盖尔多项式表示．

The Hermite's equation and the Laguerre's are linked b y simple transformations,and the connection of their solutions,the Hermite polyn omial and the Laguerre polynomial,is given in formulae.Wave functions for a harm onic oscillator are expressed in the Laguerre polynomial form.