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Unformatted text preview: metry. Next, notice that ˆ ˆ [ , ] z L z = . Use this fact to show that ˆ ( ) lm z l m m m ′ ′ ′= . Thus, the matrix element of the perturbation is nonzero only for states of the s a me m quantum number. These observations lead to the conclusion that the perturbation has a single nonzero matrix element. Calculate this matrix element and apply 1 st order degenerate perturbation theory to evaluate the energy level shifts. Does this electric field remove the degeneracy completely?...
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This note was uploaded on 02/08/2012 for the course CHEM 540 taught by Professor Mccall during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Mccall
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