[試題] 105-1 高涌泉 量子物理上 期末考
課程名稱︰量子物理上
課程性質︰必修
課程教師︰高涌泉
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰106.1.10
考試時限（分鐘）：180
試題 :
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?
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