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Apply perturbation theory to the most general two-level system. The unperturbed Hamiltonian is H^0=( Ea^0 0 0 Eb^0) and the perturbation is H^'=λ( Va a Va b Vb a Vb b) with Vb a=Va b^*, Va a and Vb b real, so that H is hermitian. As in Section 7.1 .1, λis a constant that will later be set to 1. (a) Find the exact energies for this two-level system. (b) Expand your result from (a) to second order in λ(and then set λto 1 ). Verify that the terms in the series agree with
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