摘要
对于势能为V(x)=1/2 mω2x2+λx4的非线性谐振子,不能用微扰论对经典方程进行求解.这里利用海森伯对应原理,由量子力学的矩阵元得到了非线性振子的经典解,从而对于非线性振子的性质有了进一步的理解.
For a nonlinear harmonic oscillator with potential V（x）=1/2mω2x2＋λx4,the classical equation of motion can not be solved by the perturbation method.The classical solution of the nonlinear oscillator is derived from quantum matrix elements by using the Heisenberg correspondence principle,which helps us to understand the properties of the nonlinear oscillator more profoundly.
出处
《大学物理》
北大核心
2012年第5期11-13,16,共4页
College Physics
基金
天津市科委资助项目(11JCYBJC26900)
关键词
量子力学
非线性振子
对应原理
quantum mechanics
nonlinear oscillator
correspondence principle
