A three-state system has an unperturbed Hamiltonian 6E Но -3E || -3E A perturbing Hamiltonian is added to the system, 5 V5 H' = g V5 3 V3 V3 1 where g << E. Find the perturbed energies to first order in g, and the perturbed eigenvectors to zero'th order in g. Note that "zero'th order in g" means the part proportional to gº in an expansion in powers of g.

A three-state system has an unperturbed Hamiltonian 6E Но -3E || -3E A perturbing Hamiltonian is added to the system, 5 V5 H' = g V5 3 V3 V3 1 where g << E. Find the perturbed energies to first order in g, and the perturbed eigenvectors to zero'th order in g. Note that "zero'th order in g" means the part proportional to gº in an expansion in powers of g.