Chapter 2.6, Problem 2.32P

To determine

The derivation of $B=i\frac{\sin \left(2la\right)}{skl}\left(l^2-k^2\right)F$ and $F=\left(\frac{e^{-2ika}A}{\cos \left(2la\right)-i\frac{\left(k^2+l^2\right)}{2kl}\sin \left(2la\right)}\right)$, the transmission coefficient and the confirmation of equation $T^{-1}=1+\frac{V_0^2}{4E\left(E+V_0\right)}{\sin }^2\left(\frac{2a}{\hslash }\sqrt{2m\left(E+V_0\right)}\right)$