用泛函Euler方程求解线性谐振子的基态能量和波函数

Solving ground state energy and wave function of a linear harmonic oscillator by Euler equation

利用泛函极值满足的Euler方程 ,解出了线性谐振子的基态能量和波函数 .与传统的薛定谔方程相比 ,本方法运算简便 ,物理意义明确 .

The ground state energy and the wave function of a linear harmonic oscillator are solved by Euler equation comforted to functional extremum. Compared the method with that of solving Schrdinger equation, which not only obtain a conclusion same as that of the latter, but have a simple process of calculation and the explicit physical feature.