試題詳解

Problem 3
Consider electron states of a particle in a finite quantum well, with the potential energy V(x) definedby V(0 ＜x ＜ W) = 0 in the well and V(x) = V₀ ＞ 0 outside the well. Which of the statements is CORRECT?
(A) An eigenstate in this case always describes a bound state in space.
(B) The first excited state has an energy E₁ with E₁ ＜ Vo always.
(C) The wave function of ground state can sometimes oscillate with nodal points where the wave function vanishes.
(D) For any bound eigenstate in the system, the probability density is nonvanishing in the well and vanishing outside the well.

(E) None of the above.