課程名稱︰近代物理
課程性質︰半學年
課程教師︰楊志忠
開課系所︰電機系
考試時間︰94.12.01
試題 : 共20題 每題五分
1.In quantum mechanics , every physical quantity , like the position
of a particle , is an operator . What is the value or expression in
quantum mechanics corresponding to its classical physics counterpart?
Please give the expression of this value for the particle position in
quantum mechanics.
2.In a harmonic oscillator , the energy state are equally spaced . What
is the energy step , i.e. , the saperation between two adjacent energy
level ? Also , what is the lowest energy level in this system ?
3.In a quantum tunneling process , when the barrier width is L , the
tunneling probability is 0.00001 . What is the tunneling probability
when the barrier width becomes 2L ?
4.There are 5 quantum confined states in a quantum-well system . How
many of them have the even distributions of wave function ? Which
states are odd in wave function distribution?
5.Please write down the time-independent Schrodinger equation and explain
the physical meaning of each term.
6.Suppose that there are 3 quantum confined states in a quantum-well
system . Describe the expectation value of the electron position of
each state.
7.What is the major factor controlling the emission or absorption of a
2-level energy state system?
8.Explain the two kinds of light emission mechanics . Which one leads to
the major contribution of laser?
9.Explain what the correspondence principle is in quantum mechanics .
10.Give an expression showing the energy level dependence on the pincipal
quantum number in a hydrogen atom.
11.Give an expression showing the ortho-normal condition of the
eigenfunctions .
12.Explain the condition that a set of eigenfunction is a complete set .
13.Explain the process of two-photon absorption and explain why it does not
violate the rule of energy conservation .
14.Use the concept of the matter wave to give the expression of the kinetic
energy levels of a particle in a box .
15.Explain the Bragg diffraction equation .
16.Describe briefly the photo-electric effect interpreted by Einstein 100
years ago .
17.What was the discrepancy between experiment and theory , which led to the
concept of Plank' photon energy quantization .
18.Can a massless particle , like a photon , stop from motion ? What happen
when it stops ?
19.Give the expressions of relativistic mass , length contraction , and time
dilation.
20.Explain the advantages of a four-level laser system .
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