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Consider a particle in a 2-D box
having Lx = 10 nm and Ly = 10 nm.
a) Make a surface plot of all the wave
functions for the first and second energy
levels.
b) What is the degeneracy of the second
energy level? Compare and contrast the wave
functions of the second energy level.
c) How does the number of nodes in the
x-coordinate change as n increases? How
does
the number of nodes in the
y-coordinate change as n, increases?
d) Explain whether or not those same states
would be degenerate if Lx = 10 nm and Ly
= 15
nm.

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