1 Apply the variational theorem and estimate the ground state energy for the particle-in-a-box problem using the guessed wavefunction, Assume = --- (10.8) V(x) = 0 for [0<<] V(x) = ∞ for [0] and [1]. (10.9) (10.10) 2 Find c₁ by normalization, then plot equation (10.8) and the exact ground state wavefunction of the PIB in the same figure.