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## Homework Statement

Consider the infinite square well described by V = 0 if 0<x<a and v = infinity otherwise. At t=0, the particle is definitely in the left half of the well, and described by the wave function,

[tex] \psi (x,0) = \frac{2}{\sqrt{a}}sin\left \frac{2 \pi x}{a} \right[/tex] if 0 < x < a/2

[tex] \psi (x,0) = 0[/tex] otherwise

i. Expand [tex]\psi (x,0)[/tex] in terms of the energy eigenfunctions.

ii. Evaluate enough terms so that [tex] \psi (x,0)[/tex] is given to 5% accuracy at x = a/4.

iii. Write [tex]\psi (x,t)[/tex].

## Homework Equations

Stated in part #1.

## The Attempt at a Solution

I really don't know what to do, sorry. Any help will be greatly appreciated.