2. Consider now a particle of mass m moving in one dimension in the potential h² V(x) = V₁0(x)- -98(x), 2m where 0(x) is the Heaviside step function, 8(x) is the Dirac delta function, and V, and g are constants. (a) Calculate the reflection coefficient R for a particle of energy E > V, incident from the left. Show that in the high-energy regime, EV, R gh2 8mE (b) Show that there is a bound state with energy E the eigenfunction corresponding to this energy. m h2g2 = 2h2g² 2m - Determine