Quantum
Physics-I 量子物理-1, Fall 2012
Announcement:
(*) 期末考已經改完 成績分佈見之下小圖
(*) 之前已改好的作業未領回的同學 可在上課教室黑板左側桌上自取
若作業成績分數有問題 自己找助教詢問
Time: T1T2F1F2 Tue:
8:30-9:50 and Fri: 8:30-9:50
Classroom: Room 002, Physics
Lecturer: We-Fu Chang (張維甫)
e-mail: < wfchang_AT_phys_nthu_edu_tw >
Room618, ext 31111
Office Hour: Tue. 10:00-11:00 (暫訂)
Tutorial
section: Tue. 18:00-19:00, R501
Prerequisite:
本課程適合大三(含)以上,修過理論力學及電磁學之同學選修.
You are expected to have the mechanics and
Electromagnetism knowledge at the level of
sophomore.
Textbook: Griffiths,
Introduction
to Quantum Mechanics, 2nd ed.
Recommedned References
Grading Policy:
30% Homework, 20% Midterm 1
+20% Midterm 2
, 30% Final
, 原始總分分佈
(*
Note: to pass this course, the sum of your two midterms and your final
must be greater than 110.
注意: 你的兩次期中考加期末考原始分數相加至少要有 110 分, 才有機會過關. )
TA:
許智婷 0988-958082 googoogoojube@gmail.com ,
R605
周明翰
0912-488767 mike23921887@hotmail.com,
R510A
劉嘯青
0928-918139 sawout@gmail.com,
R606
Discuss with the TA if you have any question about your homework
grading.
Homework:
( 注意: 不收遲交作業, 對抄襲或作弊零容忍 )
Doing the problem sets is an extremely important part of
learning. You can't learn the subject by just listening to the lectures
without working through things by yourself. They also contain some of
the important topics that we won't be able to cover in class. You can
discuss the problem sets with your classmates, but you are not allowed
to copy other people's homework. Each of you is required to write up
your own homework following your own understandings. Each problem set
is due about one week after its assignment in class. The solutions will
be given on this website immediately after the class on the due day and
hence late
submition will not be accepted.
So even if you couldn't
finish you should turn in what you have done.
You should summit the HW to the TA's ahead of the deadline if for some
reason you can't attend the class on the due day.
The following homework solutions are provided by the TA's.
- Homework
#1 ( Oct.5, Fri.), Solution
by 周
- Homework
#2 ( Oct.19, Fri.), Solution
by 許
- Homework
#3 ( Nov. 9, Fri.), Solution
by 許
- Homework
#4 ( Nov. 23, Fri.), Solution
by 劉
- Homework #5 [2.22, 2.43, 3.40, 4.1, 4.2, 4.3, 4.26, 4.27,
4.28, 4.49]( Dec. 18, Tue.), Solution
by 周
- Homework #6 [4.15, 4.17, 4.24, 4.25, 4.38, 4.55, 5.2, 5.5,
5.6, 5.7]( Jan. 8,
Tue.), Solution
by 劉
Syllabus:
The first 5 chapters in
Griffith will be covered
in this semester. More supplementary materials from the
references, including the history and applications, will be
provided alongside.
Course
Plan/Log:
- Sep.18(Tue.): Introduction, wave function and
intrepretation, standard deviation, normalization [1.1,1.2,1.3,1.4 ]
- Sep.21(Fri.): Momentum, operators, Ehrenfest's theorem,
uncertainty principle [ 1.5, 1.6]
- Sep.25(Tue.): Gaussian wave function, time-dependent
Schrodinger Eq. [2.1]
- Sep.28(Fri.):
No class. It's Teacher's Day
- Oct.2(Tue.): 1D infinite square well potential
- Oct.5(Fri.):
Harmonic oscillator- algebraic method [2.3.1] 收HW1
- Oct.9(Tue.): Harmonic oscillator- diff. eq.
method [2.3.2]
- Oct.12(Fri.): Free particle [2.4]
- Oct.16(Tue.): Bound states and Scattering states,
delta-function potential [2.5]
- Oct.19(Fri.):
delta-function potential, finite depth square well [2.6] 收HW2
- Oct.23(Tue.): review
- Oct.26(Fri.):
Midterm-1
- Oct.30(Tue.): Midterm problems, discussion, matrix
representation for operator, k-space Schrodinger equation
- Nov.2(Fri.): hermitian operator, Dirac notation,
linear vector space, rules for quantum mechanics
- Nov.6(Tue.): Schmidt process, Schwarz
inequality, Eigenvalue problem, projection operators and
completeness
- Nov.9(Fri.):
Uncertainty principle, Dirac normalizable 收HW3
- Nov.13(Tue.): N-site
ring as an example for x basis, k basis, and wave
function,
- Nov.16(Fri.):
Momentum and Hamiltonian operator in x basis
- Nov.20(Tue.): 2-state
system
- Nov.23(Fri.): more
on 2-state system, Stern-Gerlach Exp and Pauli
matrices[4.4] 收HW4
- Nov.27(Tue.): Review section
- Nov.30(Fri.): Midterm-2
- Dec.4(Tue.):
midterm problems and discussion, Link to Visual QM (many
movies)
- Dec.7(Fri.): 3D
Schrodinger equation[4.1]
- Dec.11(Tue.): infinity spherical well, spherical
Bessel/Neumann function, Angular Momentum[4.3]
- Dec.14(Fri.):
More on angular momentum[4.3]
- Dec.18(Tue.):
Derive the Spherical Harmonics,
H-atom ground state energy from uncertainty principle 收HW5
- Dec.21(Fri.): H-atom [4.2]
- Dec.25(Tue.):
more
on Spin, addition of angular momenta [4.4]
- Dec.28(Fri.): Clebch-Gordan coeff. Spin-1
operator, rotation and angular momentum
- Jan.1
(Tue.): No class. National Day.
- Jan.4(Fri.):
2-particle systems [5.1]
- Jan.8(Tue.):
atom [5.2] 收HW6
- Jan.11(Fri.): review? /
Solids and band structure [5.3]
- Jan.15
(Tue.): Final
Exam