Consider a particle inside a finite potential well given by 7>1>7- V2) = {~% otherwise (a) Draw the potential well. (b) Write the Schrödinger equation for INSIDE the well and determine the corresponding solution (x). (c) Write the Schrödinger equation for OUTSIDE the well and determine the corresponding solution (x). (d) Determine the EVEN and ODD solutions (no need to do the graphical solution, just show the expression for these solutions).

Consider a particle inside a finite potential well given by 7>1>7- V2) = {~% otherwise (a) Draw the potential well. (b) Write the Schrödinger equation for INSIDE the well and determine the corresponding solution (x). (c) Write the Schrödinger equation for OUTSIDE the well and determine the corresponding solution (x). (d) Determine the EVEN and ODD solutions (no need to do the graphical solution, just show the expression for these solutions).