Mathematical Physics
Spring 2026
Revised May 17 2026
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 p21-81 pdf
Homework 11 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 pdf
14th
Week May 26 Complex Function calculus and integration
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