Thread: Wave function in SHM View Single Post
P: 1,042
 Quote by sleepycoffee y(x,t)=Asin(ωt+kx) is the equation of motion for a simple harmonic oscillator. You get this by solving Newton's force law.. $F=ma=-kx \\ ma+kx=0 \\ a+\frac{k}{m}x=0$ Or you can write $\ddot{x}+\frac{k}{m}x=0$ This is a differential equation, solved by Asin(ωt+kx), where $\omega = \sqrt{\frac{k}{m}}$. I'm not sure if this answers your question?
He was asking for the wave function. You need to solve it with the Schrodinger equation, not Newtons laws.