9-21(1) Consider the following potential, which is a one-dimensional analog of the hydrogen atom: K V(x) x ≤ 0. Carry out a variational analysis for a particle of mass m moving in this potential, taking as the trial wavefunction (x)=Cxex (x20; (x) = 0 otherwise), where C is the normalization constant and ẞ is the variational parameter. If K = e²/4me, as in the Coulomb potential, how does your estimate of the ground-state energy (for an electron) compare with that for the usual Coulomb potential?