1. Square well with delta function [10 points] Consider the one-dimensional infinite square well 0 0. (1) with Vo a large value with units of energy. In fact, Vo is large compared to the natural energy scale of the well: Vo 112 371. (2) ma The dimensionless number y is taken to be large. The delta function is creating a barrier between the left-side and the right-side of the well. As the delta function intensity Vo becomes infinite we can get a singular situation. Calculate the ground state energy, including corrections of order 1/y but ignoring higher order ones. Compare with the energy of the first excited state. What is happening to the energy difference between these two levels