- #1
erok81
- 464
- 0
Homework Statement
An electron is trapped in a cubic 3D infinite well. In the states (nx,ny,nz) = (a)(2,1,1), (b)(1,2,1) (c)(1,1,2), what is the probability of finding the electron in the region (0 ≤ x ≤ L, 1/3L ≤ y ≤ 2/3L, 0 ≤ z ≤ L)?
Homework Equations
My normalized wave function in the box is:
[tex]\psi _{(x,y,z)} = \left( \frac{2}{L}\right)^{\frac{3}{2}}sin\left(\frac{n_{x} \pi x}{L_{x}}\right)sin\left(\frac{n_{y} \pi y}{L_{y}}\right)sin\left(\frac{n_{z} \pi z}{L_{z}}\right)[/tex]
And my probability is found by |ψ2|
The Attempt at a Solution
Without integrating I am not sure how to proceed on this problem. If I had exact values for L, obviously it would be fairly straight forward.
My problem is I don't know what to put in for the normalized L (since it isn't axis specific) and my axis specific L's give ranges.
Last edited: