| Academic Year |
2024Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program |
| Lecture Code |
WSA71002 |
Subject Classification |
Specialized Education |
| Subject Name |
数学特別講義 （準古典解析入門） |
Subject Name
（Katakana） |
スウガクトクベツコウギ |
Subject Name in
English |
Special Lectures in Mathematics |
| Instructor |
WATANABE TAKUYA,KAMIMOTO SHINGO |
Instructor
(Katakana) |
ワタナベ タクヤ,カミモト シンゴ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Inte |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture with black board |
| Credits |
1.0 |
Class Hours/Week |
|
Language of Instruction |
B
:
Japanese／English |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
Schroedinger equations, WKB method, semi-classical microlocal analysis |
| 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 |
This course is an introduction to semi-classical analysis for Schroedinger equations.
We will revisit the WKB method, which is well-known in quantum physics, and lecture it on the framework of an asymptotic analysis.
Moreover, we will mention an idea of semi-classical microlocal analysis. |
| Class Schedule |
lesson1 Survey of semi-classical analysis
lesson2 Harmonic oscillator
lesson3 WKB method
lesson4 Appication of WKB method
lesson5 Introduction to semi-classical microlocal analysis |
Text/Reference
Books,etc. |
They are indicated in the lecture. |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
They are given during the lecture. |
| Requirements |
|
| Grading Method |
Grade is mainly based on the paper. Students who attend less than 2/3 of total lectures are not graded. |
| 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. |