Consider a real system. Assume that a real wavefunction is a combination of two orthogonal functions such that H11 = 215, H22 = -4, and H12 = H21 = -2.5 (arbitrary energy units). Assume S11 = S22 = 1 and S12 = S21 = 0. (a) Evaluate the approximate energies of the real system and evaluate the coefficients of the expansion รขˆ…a = ca,1?1 + ca,2?2. (b) Compare your answer to the answers in exercise 12.12 and comment.
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