課程名稱︰近代物理
課程性質︰電機系系訂選修
課程教師︰楊志忠
開課學院：電機資訊學院
開課系所︰電機工程學系
考試日期（年月日）︰96/01/18
考試時限（分鐘）：三小時
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 : 共 20 題，每題 5 分
1. The eigenfunction of the 1s state of a hydrogen atom is
Ψ(r,θ,φ) = π^(-1/2) a0^(-3/2) exp(-r/a0),
where a0 is the Bohr radius. Because |Ψ(r,θ,φ)|^2 represents the
probability density function, does it mean that we can probably find an
electron at r=0, i.e., at the location of the nucleus? Why?
2. Explain what the band gap in a semiconductor is.
3. What are the corresponding phenomena in classical electromagnetic theory
to the two photon spin states?
4.(a)(2 points) What are the four kinds of the usually observed bonds?
(b)(3 points) Compare their relative strengths?
5. What is the major difference between an insulator and a semiconductor?
6. What is the origin of the measured temperature of a solid at room
temperature?
7. Please write down the expressions of the Bose-Einstein distribution and
the Fermi-Dirac distribution.
8. In a hydrogen atom, with the principle quantum number n = 3, (a)(2 points)
what are the possible values of orbital quantum numbers? (b)(3 points) For
each value of the orbital quantum number, list the possible values of the
magnetic quantum number.
9. If we consider the electron spin from the classical physics viewpoint,
what would be the unreasonable conclusion?
10. (a) What is Pauli's exclusion principle? (b) Does a system with a symmetric
wave function or anti-symmetric wave function obey this principle?
11. Explain briefly the meaning of the space quantization in a hydrogen atom.
12. Explain briefly the relationship between the concept of dipole and the
selection rules of electron transition between two energy states.
13. Explain briefly what the (normal) Zeemen effect is. You need to explain
the cause of this effect.
14. (a)(3 points) What is the anomalous Zeemen effect? (b)(2 points) What
important discovery was made from the observation of the anomalous Zeemen
effect?
15. Why metals have high ductility (展延性)?
16. What is the origin of the ferromagnetism?
17. Explain the meaning of the cohesive energy of an ionic crystal.
18. Explain how the Van der Waals bond is formed between a polar and a
non-polar molecule.
19. How to explain the difference of the specific heat of a solid between the
experimental data and the theory based on the Boltzmann distribution (the
classical theory) when the temperature is low?
20. Please explain briefly why the electron kinetic energy in a metal or
semiconductor contributes insignificantly (不顯著) to temperature
variation at room temperature.
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※ 編輯: whxu 來自: 125.225.67.46 (01/19 18:15)