课程名称︰量子物理下
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）︰106.6.20
考试时限（分钟）：180
试题 :
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?