# I Normalizing Constant 3D Infinite Well

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1. Feb 20, 2016

### RaulTheUCSCSlug

For time independent Schrodinger's equation in 3-D

Where Enx,ny,nz=(nx/Lx2+ny/Ly2+nz/Lz2)(π2ħ2/2m
and Ψnx,ny,nz=Asin(nxπx/Lx)sin(nyπy/Ly)sin(nzπz/Lz)

How do I normalize A to get (2/L)^3/2?

I don't think I understand how to normalize constants.

2. Feb 20, 2016

### blue_leaf77

A normalized state $\psi$ means that the total probability described by this state, $|\psi|^2$, is equal to unity.

3. Feb 20, 2016

### RaulTheUCSCSlug

So when A is (2/L)^3/2 then |\psi|^2 is equal to one since the probability density must go to one?

So to solve for A one would just go through |\psi|^2 = 1 then solve for A?

4. Feb 20, 2016

### Staff: Mentor

The integral of $|\psi^2|$ over all space (or equivalently, over the entire volume of the well, since $\psi$ must be zero outside the well) must equal 1 in order for $\psi$ to be normalized.

5. Feb 21, 2016

### blue_leaf77

No, not that which must be equal to 1. Take a look at jtbell's comment above.

6. Mar 13, 2016

### RaulTheUCSCSlug

Right. So the purpose is to have the probability of the whole function sum up to 1. Okay. I went to office hours and got things clarified thank you!