| Academic Year |
2026Year |
School/Graduate School |
Graduate School of Integrated Sciences for Life (Master's Course) Division of Integrated Sciences for Life Program of Mathematical and Life Sciences |
| Lecture Code |
WG115002 |
Subject Classification |
Specialized Education |
| Subject Name |
応用数理学Ａ |
Subject Name
（Katakana） |
オウヨウスウリガクエー |
Subject Name in
English |
Mathematical Analysis A |
| Instructor |
OHNISHI ISAMU |
Instructor
(Katakana) |
オオニシ イサム |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Tues5-6,Fri5-6：Online |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Online (on-demand) |
| Lecture-based, exercise-based |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
J
:
Japanese |
| Course Level |
6
:
Graduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
Master's students graduated(All graduate students of this university who can earn credits through this course) |
| Keywords |
Quantum field theory, Lie algebra decoupling, renormalization group, VQE, (quantized) gauge field theory, and mathematical physics foundations for studying these |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
My laboratory is researching the mathematical physics of quantized fields, and as a foundation for this we provide a mathematical and physical foundation for studying quantum field theory, Lie algebra decoupling, the renormalization group, and (quantized) gauge field theory. |
| Class Schedule |
Lecture 1: Introduction: Toward the Study of Quantized Fields from a Mathematical Physics Perspective
Lecture 2: Review of Linear Algebra, Calculus, Complex Analysis, and Elementary Geometric Concepts for Use in Mathematical Physics (I)
Lecture 3: Review of Linear Algebra, Calculus, Complex Analysis, and Elementary Geometric Concepts for Use in Mathematical Physics (II)
Lecture 4: Review of Linear Algebra, Calculus, Complex Analysis, and Elementary Geometric Concepts for Use in Mathematical Physics (III)
Lecture 5: Lie Algebra Decoupling (I)
Lecture 6: Lie Algebra Decoupling (II)
Lecture 7: Lie Algebra Decoupling (III)
Lecture 8: Lie Algebra Decoupling (IV)
Lecture 9: Lie Algebra Decoupling (V)
Lecture 10: Lie Algebra Decoupling (VI)
Lecture 11: Lie Algebra Decoupling (VII)
12th Lecture: Renormalization Group (I)
13th Lecture: Renormalization Group (II)
14th Lecture: Renormalization Group (III)
15th Lecture: Appendix
There will be no exams, but we plan to assign several report questions. We will make a comprehensive assessment of the results, as well as your progress in your studies and other factors.
My specialty has nothing to do with life or living organisms. However, for historical reasons, I am teaching in this department, but this is only temporary. However, there are no restrictions on enrollment. |
Text/Reference
Books,etc. |
No specific textbook required.
Reference book for quantum field theory:
S. Weinberg, "The Quantum Theory of Fields" (Cambridge)
If necessary, handouts will be distributed as needed! |
PC or AV used in
Class,etc. |
Text, Handouts |
| (More Details) |
It is an online (on-demand) course. For information on viewing and listening to lectures, please refer to the Momiji bulletin board or Moodle corresponding to the lecture. |
| Learning techniques to be incorporated |
Post-class Report |
Suggestions on
Preparation and
Review |
We hope you will learn at your own pace by looking at handouts, reference books, and video lectures! |
| Requirements |
|
| Grading Method |
There will be no exams, but we plan to assign several report questions. We will make a comprehensive assessment of the results, as well as your progress in your studies and other factors. |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |