Hiroshima University Syllabus

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Japanese
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. 
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