Figure 5.15 shows the allowed wave functions for a finite well whose depth UQ was chosen t...

Figure 5.15 shows the allowed wave functions for a finite well whose depth UQ was chosen to be 6π2h2/mL2.

(a) Insert this value in equation (5-23), then, using a calculator or computer, solve for the allowed values of kL, of which there are four, (b) Using  find the corresponding values of E. Do they appeal' to agree with Figure 5.15? (c) Show that the chosen U0 value implies that  (d) Defining L and C to be I for convenience, plug your kL and a values into the wave function given in Exercise 46. then plot the results. (Note: Your first and third kL values should correspond to even functions of Z, thus using the form with cos kz, while the second and fourth correspond to odd functions.) Do the plots also agree with Figure 5.15?