[60 pts] a particle with energy e and mass m moves in one dimension along the x-axis in the positive direction. at x = 0, there is a very 2 narrow potential wall like v(x)=4_78(x) where d(x) is the dirac delta function. (a) [20 pts] for the case g > 0, write down the schroedinger equation and calculate the wave function for the scattered state (e> 0). (b) [20 pts] for the case g > 0, calculate the reflection and transmission coefficients for the calculated scattered state. (c) (20 pts] for the case g < 0, calculate the energy for the bound state (e< 0).