(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(1) For the cubic 3D infinite-well wave function,

[tex]\psi[/tex](x,y,z) = A sin(n[tex]\pi[/tex]x/L)sin(n[tex]\pi[/tex]y/L)sin(n[tex]\pi[/tex]z/L)

Show that the correct normalization constant is A = (2/L)[tex]^{3/2}[/tex]

2. Relevant equations

Note: The Pi's above are not meant to be superscript, and each n relates to the appropriate x,y,z

[tex]\int[/tex][tex]\psi[/tex]*[tex]\psi[/tex]dx=1

3. The attempt at a solution

I have rearranged for A squared outside of the integral of the three sine functions (as a product) with limits of integration 0 to L. Not going to show it here becaus its long and messy. I am wondering if i need to do a triple (volume integration) or whether there is a shortcut because thats going to be one big, nasty integration :s

A little guidance would be appreciated,

Cheers, Joel.

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# Quantum Meachanics; Normalization in 3D

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