This preview shows page 1. Sign up to view the full content.
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 ele-ment. 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?...
View Full Document
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