7.1.2.3 So­lu­tion schrod­sol-c

Ques­tion:

Write the full wave func­tion for a one-di­men­sion­al har­monic os­cil­la­tor. For­mu­lae are in chap­ter 4.1.2.

An­swer:

Us­ing the give for­mu­lae

$$\Psi(x,t) = \sum_{n=0}^\infty c_n(0) e^{-{\rm i}\frac{(2n+1)}{2}\omega t} h_n(x)$$