1. Two delta functions [15 points] Consider a particle of mass m moving in a one-dimensional double well potential V(x) = -go(x - a) - go(x + a), g>0. (a) Find transcendental equations for the bound state energy eigenvalues of the system. Plot the energy levels in units of h2 /(ma?) as a function of the dimen- sionless parameter ) = mag/h2. Explain the features of the plot. (b) In the limit of large separation 2a between the wells find a simple formula for the splitting between the ground state and the first excited state