A system that has three unperturbed states can be represented by the perturbed Hamiltonian matrix where E
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A system that has three unperturbed states can be represented by the perturbed Hamiltonian matrix
where E2 > E1· The quantities a and b are to be regarded as perturbations that are of the same order and are small compared with E2- E1. Use the second-order nondegenerate perturbation theory to calculate the perturbed eigenvalues. (Is this procedure correct?) Then diagonalize the matrix to find the exact eigenvalues. Finally, use the second-order degenerate perturbation theory. Compare the three results obtained.
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