Mathematical Physics
Spring 2026
Revised June 17 2026
總成績已公布於moodle，
公式為：期中考＊43%+期末考＊43%＋習題總分/30*100*15%
請確認並檢查，有問題請寄信：chvchang@hotmail.com
預計6月23日繳出成績，請把握時間。
1st
week Feb 24 First Encounter of
Schrodinger Wave Equation PowerPoint p1-4 pdf
Quantum
Particles PowerPoint p1-43 pdf
2nd
week Mar 3 Spectrum, Photon, Bohr’s Atomic Model, Matrix Mechanics
above PowerPoint p43-175
pdf
灰色背景投影片供參考，上課時並未介紹
有同學反應電磁學已開始用到Laplacian的極座標表示，我們要稍晚才會談及，
但這裡我附上我在近代物理的討論錄影，及PowerPoint 供大家參考，
錄影在後段 PowerPoint p7-15 pdf
數學式較繁雜，但概念不難，掌握：極座標單位向量依舊是正交坐標系。
3rd
Week Mar 10 Matrix Mechanics above PowerPoint p176-252
pdf
Electron as
Wave PowerPoint p6-40
pdf
Homework 8 pdf Due: March 24 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
4th
Week Mar 17 Online class, Born Probability
Interpretation, Particle and Wave
PowerPoint p76-166 pdf
5th
Week Mar 24 Particle and Wave abovePowerPoint p105-168
pdf
Schrodinger
Wave Equation PowerPoint p13-26
pdf
6th
Week Mar 31 Schrodinger Wave Equation AbovePowerPoint p25-41 pdf
Stationary
States PowerPoint p1-25 pdf
Homework 9 pdf For practice only. No need to hand in.
Solutions pdf
7th
Week Apr 7 Wave Equation in Quantum Well, Eigenvalues,
SHO
AbovePowerPoint p1-47 pdf
證明力學課用到矩陣的trace在變換下不變：證明
8th
Week Apr 14 Midterm Exam
9th
Week Apr 21 Wave Equation in SHO AbovePowerPoint p69-87
pdf
Homework 10 pdf Solution pdf Due: May 5 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
10th
Week Apr 28
Energy
Quantization in SHO AbovePowerPoint p72-90
pdf
Sturm-Liouville
Problem PowerPoint p9-15
pdf
11th
Week May 5 Online class Video I II III
Sturm-Liouville
Problem PowerPoint p9-26
pdf
Wave
Equation in infinite space, Fourier Transformation PowerPoint p1-23 pdf
12th
Week May 12 Fourier Transformation, Expectation Value
Above PowerPoint p21-92 pdf
Homework 11 Solutions
pdf Due: May 26 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
13th
Week May 19 Hydrogen Atom and Legendre Equation PowerPoint p1-24 37-43 49 pdf
Homework 12 Solution pdf for practice (no need to hand in)
14th
Week May 26 Online class Complex Function calculus and
integration PowerPoint pdf
Final Preparation PowerPoint
pdf
15th Week June 2 Final Exam
Fall 2025
Revised Dec 23 2025
計算公式為 期中考＊45%＋期末考＊45%+五次作業總分平均＊10＊10%
Dec 22 Monday
11:00-13:00 A213 領卷
第二周 Sep 9 First order ODE, Decay
Equation, PowerPoint(13:00 Sep 16) p1-65
pdf
Reading建議閱讀:
Arfken
7.1-7.2 (p329-p.332 p336-339)
Homework I Problem and Solution pdf Deadline: Sep 16 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
第三周 Sep 16 Integrating Factor 以上投影片 PowerPoint(13:00 Sep 16) p65-82 pdf
Second order
linear ODE, SHM, PowerPoint(20:00 Sep 23) p1-75 pdf
Reading建議閱讀:
Arfken
7.6 (p362-p.363) 7.7(375-376)
高度建議：參考lecture notes about
SHM by Prof. Schwartz of Harvard I II
Homework II Problem pdf Solution pdf Deadline: Sep 30 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
第四周 Sep 23 Complex Number Solution of Linear ODE,
以上投影片PowerPoint(20:00 Sep 23) p76-103 136-157 pdf
高度建議：參考lecture notes about
SHM by Prof. Schwartz of Harvard
I II
第五周 Sep 30 以上投影片PowerPoint p144-149 Inhomogeneous Soluton p126-129 pdf
Coupled
SHM, Systems of ODE’s. PowerPoint P1-31 pdf
lecture
notes about SHM by Prof. Schwartz of Harvard
III IV
Homework III Problem pdf 解答 pdf Deadline: Oct 14 23:00
線上繳交信箱：41141129s@gapps.ntnu.edu.tw
第六周 Oct 7 線上上課連結 I
II Matrix and Eigenvalue PowerPoint pdf
第七周 Oct 14 線上上課連結 I
II Eigenvalue 以上PowerPoint pdf
Homework IV Problem pdf 不交 解答 pdf
第八周 Oct 21 實體上課 複習
第九周 Oct 28 期中考 期中考題目與解答 pdf Nov 4 發卷
第十周 Nov 4 Positive definite matrices 以上投影片 p25-49 pdf
System of ODE’s,
Coupled oscillation for large N 以上投影片 p25-28 pdf
第十一周 Nov 11 Continuous limit and wave equation 以上投影片 p26-47 pdf
Reading:
lecture notes by Prof. Schwartz of Harvard
IV
第十二周 Nov 18 Wave Solution
以上投影片 p40-64 pdf
Reading: lecture
notes by Prof. Schwartz of Harvard p7-8
IV
第十三周 Nov 25 Vector Calculus 投影片 p19-95
pdf
Reading:
lecture notes by Prof. Tong of Cambridge I II
第十四周 Dec 2 Electromagnetic Wave Equation 投影片 p73-78 96-133 pdf
Wave
Equation 投影片 p12-33 pdf 講義
pdf
第十五周 Dec 9 Seperation of
Variables 以上投影片 p31-59 77-80 pdf 講義
pdf
Separation
Of Variable 方法很重要 請讀投影片 P31-40，講義 p3-5 並作以下習題