Chapter 12, Problem 12.48E

Consider a real system. Assume that a real wavefunction is a combination of two orthogonal functions such that $H_{11}=-15$, $H_{22}=-4$, and $H_{12}=H_{21}=-2.5$ (arbitrary energy units). Assume $S_{11}=S_{22}=1$ and $S_{12}=S_{21}=0$. (a)Evaluate the approximate energies of the real system and evaluate the coefficients of the expansion ${\varphi }_a=c_{a,1}{\Psi }_1+c_{a,2}{\Psi }_2$. (b) Compare your answer to the answers in exercise 12.12 and comment.