What is the General Solution for the Schrödinger Equation in a 2D or 3D Box?

kasse
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The solution of the one dimensional Schrödinger equation for a particle in a one dimensional box is Asin \frac{n \pi x}{a}. But how about if the box is 2D or 3D?
 
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Have you considered actually solving the Schroedinger equation for these cases?...An attempt at that would probably be a good way to start.
 
What is the general solution then?
 
kasse said:
What is the general solution then?

Show us an attempt and I'll be happy to help you. Start with the 2D case.
 
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