2. (30%) Consider a finite quantum well in Fig. 1 with the potential energy of
, where V0>0. Please answer the following questions:
(c) (14%) By dividing Eq. (1) by Eq. (3) and dividing Eq. (2) by Eq. (4), please show that

Then plot tan
vs.x Also show that there always exists at least one quantum subband in this finite quantum well. tan()=