[試題] 105-2 高涌泉 量子物理下 期末考
課程名稱︰量子物理下
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）︰106.6.20
考試時限（分鐘）：180
試題 :
Quantum Physics Final Exam 4/20/2017
(20%)
1. Consider a box of free electrons at temperature T = 0. It is known that (a)
E_F ~ ρ^α, (b) E = βNE_F, and (c) P_deg = γρE_F, where E_F is the
Fermi energy , ρ is the electron density, N is the number of electrons, E
is the total energy, and P_deg is the degeneracy pressure. What are the
values of α, β and γ respectively?
(20%)
2. The heat capacity C of a metal has the form C(T) = AT + BT^3 at low
temperature T, i.e., C(T) is a sum of 2 terms. Explain the physical meaning
of each term.
(20%)
3. State and prove the so called Bloch's theorem.
(15%)
4. How did Fritz and Heinz London explain the Meissner effect?
(15%)
5. How did C.S. Wu find that the left-right(mirror) symmetry is violated in β
decay?
(10%)
6. What is the motivation for introducting the strangeness quantum number in
the classification of elementary particles?
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