The variation method The variation theorem Consider a system whose hamiltonian operator H is time independent and whose lowest-energy eigenvalue is E. If o is any normalized, well behaved function that satisfies the boundary conditions of the problem, then φHφdτ>EThe Variation Method Consider a system whose Hamiltonian operator H is time independent and whose lowest-energy eigenvalue is E1 . If f is any normalized, well￾behaved function that satisfies the boundary conditions of the problem, then  f * H f dt > E1 The variation theorem