课程名称︰量子物理上 课程性质︰必修 课程教师︰高涌泉 开课学院：理学院 开课系所︰物理系 考试日期（年月日）︰106.1.10 考试时限（分钟）：180 试题 : Quantum Physics Final Exam 1/10/2017 (20%) 1. How did Davisson and Germer confirm experimentally the validity of de Broglie's postulate about matter waves? (20%) 2. It is said that the Schrodinger wave function Ψ(x, t) cannot describe a real wave such as a sound wave. Why? (15%) 3. What is the representation of the operator x^ in the momentum space? Why? (15%) 4. (a) There exists a bound state for the attractive delta function potential -h_bar^2 λ V(x) = --------- ---- δ(x) in 1 dim. What is the energy of this bound 2m a state? (15%) (b) Particleswith energy E > 0 are incident from the left and scatter off the delta function potential in (a). What is the transimission coefficient? (15%) 5. Consider an isolated 1-electron atom. How many degenerate eigenfunctions are there which correspond to a particular eigenenergy En (n is the principle quantum number)? Why? -- 在很久的以後 你是否记得我 --

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