PHZ3400-09 Problem Set 1a

Problem 1

Consider a diatomic molecule formed of two nonequivalent atoms A and B. Assume that the known ground state energies $\varepsilon _{A}$ and $\varepsilon _{B}$ of the two atoms are different, and that $\varepsilon _{A}=\varepsilon _{B}+\Delta$, with $\Delta >0$; in other words, atom A has a higher ground state energy. Assume that the hopping element $<\psi _{o}^{A}|H|\psi _{o}^{B}>=-t$ is known.