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## Homework Statement

The wording of the question is throwing me off. It is a standard inf. pot. well problem and we are given the initial position of the particle to be in the left fourth of the box,

[itex]\Psi(x,0)=\sqrt{\frac{4}{a}}[/itex]

We are asked to a) write the expansion of the wave function in terms of energy eigenfunctions, b) explicitly compute the expansion coefficients, and c) give an expression for psi at later times.

## Homework Equations

[itex]E_n=\frac{n^2\pi^2\hbar^2}{2ma^2}[/itex]

## The Attempt at a Solution

[/B]

I got b) and c) (I can show my work if necessary)

b) [itex]c_n=\frac{4\sqrt{2}}{n\pi}[/itex] for n= odd

[itex]c_n=0[/itex] for n= even

c) some long expression that I don't want to latex f I don't have to, but will if needed (on my phone :) )

But for a), I would think E_n would be the same as any inf. pot. well problem, wouldn't it? So

[itex]E_n=\frac{n^2\pi^2\hbar^2}{2ma^2}[/itex]. Is this right?