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I am needing to show that for an electron confined to a 3d infinitely deep quant

ID: 1953969 • Letter: I

Question

I am needing to show that for an electron confined to a 3d infinitely deep quantum well whose potential is given by: V(x,y,z)=0 for 0<=x<=a, 0<=y<=b, 0<=z<=c; V(x,y,z)= elsewhere. I am to use the seperation of variables technique to show that the normalized wave function is given by:

Psi(x,y,z)=(2(2))/(abc))sin((nx*x)/a)sin((ny*x)/b)sin((nz*x)/c)

I am thinking that I can do a triple integral but I am unsure as to the form of the wave equation that I need to perform this triple integral on. Can you posibly point me to a previous thread on this (if it exists) or point me in teh right direction?

Explanation / Answer

the wave function is right, what you want from here.