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## Homework Statement

As part of my homework, I am solving the TISE for the infinite square well model.

The potential is zero for |x| =< a and infinite otherwise.

## Homework Equations

## The Attempt at a Solution

For |x| >= a, the wavefunction is zero.

For |x| =< a, there are three possible cases:

1. E > 0

2. E = 0

3. E < 0

for the following TISE:

[tex]\frac{d^{2}u}{dx^{2}} + \frac{2mE}{hcross^{2}}u = 0[/tex].

For E > 0, the solutions are sinusoidal.

For E = 0, u = A + Bx.

For E < 0, the solutions are exponentials.

The problem is the only solution is sinusoidal. What have I done wrong?