- #1
YoungEverest
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Homework Statement
In reference to the particle in an infinite, cubic well I have been asked to calculate the degeneracy of the 14th energy level and comment on its special nature.
2. The attempt at a solution
Notation: E_n = E (n_x , n_y , n_z)
E_14 = E(3,3,3)=E(5,1,1)=E(1,5,1)=E(1,1,5) and so is 4-fold degenerate.
Now, I know that a double degeneracy leads to a symmetry with respect to a 90 degree rotation. Am I along the right lines that symmetry is what is special about this case?
Thanks!