Originally Posted by

**DiscreteW** I was given a few Quantum questions, and they're all math related. Not sure how many understand this, but it was worth a shot.

Given that a free electron is contained in a box described by the wave function $\displaystyle \psi(x, 0) = \left(\frac{1}{2}\right)\left(\frac{2}{a}\right)^{ \frac{1}{2}}\sin{\frac{2\pi x}{a}} + \frac{3^{\frac{1}{2}}}{2} \left(\frac{2}{a}\right)^{\frac{1}{2}}\sin{\frac{4 \pi x}{a}}$ and with walls located at $\displaystyle x=0$ and $\displaystyle x=a$, answer the following:

1.) Find the wave function $\displaystyle \psi(x,t)$ at any time $\displaystyle t > 0$.