For the E > U0 potential barrier, the reflection and transmission probabilities are the...

For the E > U0 potential barrier, the reflection and transmission probabilities are the ratios

where A, B, and F are the multiplicative coefficients of the incident, reflected, and transmitted waves, respectively. From the four smoothness conditions, solve for B and F in terms of A, insert them in the R and T ratios, and thus derive equations (6-12).