Potentials and barriers:

Let us consider a 1D particle with a piecewise potential as follows: where  is a finite and positive value. () = L , for  < 0 () = 0, for 0     () = ,   >  Where VL is a positive and finite value. (a) Graph the wave function when the energy of the particle is  > L (b) Plot a wave function for the ground state when the energy of the particle is  < L (c) Plot a wave function for the first excited state when the energy of the particle is  < L (Note: for complex functions you can graph the real component only)