Let Ha and Hb be the operators obtained when v(ri) in (16.33) is replaced by va(ri) and

Question:

Let Ha and Hb be the operators obtained when v(ri) in (16.33) is replaced by va(ri) and vb (ri), respectively, where va(ri) and vb(ri) differ by more than a constant. Prove that the ground state wave functions ψ0,a and ψ0,b of these Hamiltonians must be different functions.