348-problem38 - a) Calculate again the second order energy...

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Chem. 540 Instructor: Nancy Makri PROBLEM 38 Consider again the Hamiltonian defined in problem 37, but now with 12 21 0 V V = = . Once again, we are interested in the energy corrections through second order in the perturbation. Notice, however, that this perturbation does not remove the degeneracy through first order.
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Unformatted text preview: a) Calculate again the second order energy shifts for all three levels. b) Diagonalize the Hamiltonian exactly to find the exact energy eigenvalues. Expand these through second order and show that you recover the perturbation theory result of part (a)....
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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.

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