- #1
spaghetti3451
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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?