Problem 6
Consider the transmission of an incident electron with energy E through the one dimensional step potential barrier V(x) with V(x ＜ 0) = 0 outside the barrier, and V(x ＞ 0) = Vo in the barrier (V₀ ＞ 0).
Which of the following statements is CORRECT about the transmission coefficient T?
(A) If the incident electron comes from x = +infinity, with E＞ V₀,then the corresponding T = 1.
(B) If the incident electron comes from x = - infinity, with E ＞V₀, then the corresponding T = 1.
(C) If the incident electron comes from x = - infinity, with E＜V₀, then it has a nonvanishing probability in the barrier as well as T ＞ 0 due to quantum tunneling.
(D) Replace V(x) by a potential barrier of finite width, with V(0 ＜ x ＜W) = Vo in the barrier and V(x) = 0 outside the barrier. An incident electron with E＜V₀ has T ＞ 0 due to quantum tunneling.
(E) None of the above.