Lecture Outline 3

Case of a cubic box abcl energies of some low lying

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Unformatted text preview: = f(x) g(y) h(z) = X. Case of a Cubic Box a=b=c=L Energies of Some Low Lying States nx, ny, nz = 1,1,1 2,1,1 1,2,1 1,1,2 etc. E (units of b') = 3 6 6 6 etc. Note the Degeneracy of the States (2,1,1 and 1,2,1 and 1,1,2). Symmetry Results in Degeneracy!!!!! An Important Theorem If 1, 2, 3, 4, … , n are degenerate with Energy W: … Then, the Linear Combination: is an eigenfunction of with an eigenvalue W....
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