How can the Schrodinger equation be applied to a 3D rectangular box?

TimeRip496
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Can anyone give me a really simple example on how to use the eqn above to solve it?
 
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You've done the one-dimensional "particle in a box" a.k.a. "infinite square well", right? Try the three-dimensional "rectangular" version in Cartesian coordinates. A Google search for things like "three dimensional square well" or "schrodinger equation three dimensional box" should find lecture notes about it. Maybe include the word "rectangular."
 

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