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.
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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