Given the situation of Exercise 25, show that (a) as U0 →∞, (b) as L →0 the reflection pro...

Given the situation of Exercise 25, show that (a) as U0 →∞, (b) as L →0 the reflection probability approaches 0. (c)Consider the limit in which the well becomes infinitely deep and in infinitesimally narrow—that is, U0 →∞ and L → 0—but the product U0L is constant. (This “delta well” model approximates the effect of a narrow but strong attractive potential, such as that experienced by a free electron encountering a positive ion.) Show that the reflection probability becomes