= 0 0 = 14-1. Consider the Schrdinger equation NY, = E,4,, where subscript 0 means the ground state. Let () be the zeroth-order Hamiltonian with known eigenfunctions {Yo} and eigenvalues {E\"}. Let " be the perturbation and therefore, = (0) + (1) with 2 =1. We furthermore expand the wave function and energy in infinite series as Y, = 40 +24() +2Y(2) +... and E. = E +2E." +2E_2) +.... Substituting these in the Schrdinger equation NY, = E, 4, and collecting those terms that are proportional to 1, find the first-order perturbation equation. What are the unknowns in this equation? Is this an eigenvalue equation? + = 0 = 0 0