HB206000 Mathematics for Computation B

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Science

Lecture Code HB206000 Subject Classification Specialized Education

Subject Name 計算数理Ｂ

Subject Name
（Katakana）ケイサンスウリB

Subject Name in
English Mathematics for Computation B

Instructor OHNISHI ISAMU

Instructor
(Katakana) オオニシ　イサム

Campus Higashi-Hiroshima Semester/Term 4th-Year,  Second Semester,  3Term

Days, Periods, and Classrooms (3T) Mon5-6,Thur5-6

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, Online (on-demand)

Credits 2.0 Class Hours/Week 4 Language of Instruction J : Japanese

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students undergraduate　Students 4 th Degree(All students of this university who can earn credits through this course)

Keywords Quantum field theory, variational principles and variational methods, eigenvalues and eigenvalue problems, VQE (variational quantum eigensolver), quantum mechanics and eigenvalue problems, Lie algebra decoupling, renormalization group,  (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) Mathematics
（Knowledge and Understanding）
・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics.
（Abilities and Skills）
・To learn basic knowledge, skills, and attitudes related to information. Based on them, to be able to process, output and input information, as well as to utilize information appropriately.

Class Objectives
/Class Outline My lab conducts mathematical physics research on quantized fields. As a foundation for this, we will cover (quantized) gauge field theory and the mathematical physics foundations for studying them.

Starting with an introduction to the variational principle and variational methods, I will review the eigenvalue problem learned at the beginning of quantum mechanics and lecture on the variational characterization of eigenvalue problems, followed by an overview of VQE.

Class Schedule Lecture 1: Introduction (Eigenvalues and Eigenvalue Problems) (I)
Lecture 2: Introduction (Eigenvalues and Eigenvalue Problems) (II)
Lecture 3: Introduction (Eigenvalues and Eigenvalue Problems) (III)
Lecture 4: Variational Principles and Calculus of Variations (I)
Lecture 5: Variational Principles and Calculus of Variations (II)
Lecture 6: Variational Principles and Calculus of Variations (III)
Lecture 7: Variational Principles and Calculus of Variations (IV)
Lecture 8: Variational Principles and Calculus of Variations (V)
Lecture 9: Variational Characterization of Eigenvalues (I)
Lecture 10: Variational Characterization of Eigenvalues (I)
Lecture 11: VQE (Variational Quantum Eigensolver) (I)
Lecture 12: VQE (Variational Quantum Eigensolver) eigensolver) (II)
13th Lecture: Variational Quantum Eigensolver (VQE) (III)
14th Lecture: Supplement (I) (Topics Related to Quantum Field Theory and Eigenvalue Problems I)
15th Lecture: Supplement (I) (Topics Related to Quantum Field Theory and Eigenvalue Problems II)

There are no exams, but rather regular learning situations, progress, and attendance are recorded. Then, several report questions are given and students are decided. Grades are given based on the results.

This lecture aims to build a foundation for tackling the above problems from the perspective of mathematical physics, making full use of quantum field theory.

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) Lectures will be held in face to face, but lecture summaries will be recorded on video.

Learning techniques to be incorporated Post-class Report

Suggestions on
Preparation and
Review The class will be held in person, but a video summary of the lecture will be provided. Please study carefully!

Requirements

Grading Method There are no exams, but rather regular learning situations, progress, and attendance are recorded. Then, several report questions are given and students are decided. Grades are given based on the results.

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.

Academic Year	2026Year	School/Graduate School	School of Science
Lecture Code	HB206000	Subject Classification	Specialized Education
Subject Name	計算数理Ｂ
Subject Name （Katakana）	ケイサンスウリB
Subject Name in English	Mathematics for Computation B
Instructor	OHNISHI ISAMU
Instructor (Katakana)	オオニシ　イサム
Campus	Higashi-Hiroshima	Semester/Term	4th-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Mon5-6,Thur5-6
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, Online (on-demand)

Credits	2.0	Class Hours/Week	4	Language of Instruction	J : Japanese
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students	undergraduate　Students 4 th Degree(All students of this university who can earn credits through this course)
Keywords	Quantum field theory, variational principles and variational methods, eigenvalues and eigenvalue problems, VQE (variational quantum eigensolver), quantum mechanics and eigenvalue problems, Lie algebra decoupling, renormalization group, (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)	Mathematics （Knowledge and Understanding）・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics. （Abilities and Skills）・To learn basic knowledge, skills, and attitudes related to information. Based on them, to be able to process, output and input information, as well as to utilize information appropriately.
Class Objectives /Class Outline	My lab conducts mathematical physics research on quantized fields. As a foundation for this, we will cover (quantized) gauge field theory and the mathematical physics foundations for studying them. Starting with an introduction to the variational principle and variational methods, I will review the eigenvalue problem learned at the beginning of quantum mechanics and lecture on the variational characterization of eigenvalue problems, followed by an overview of VQE.
Class Schedule	Lecture 1: Introduction (Eigenvalues and Eigenvalue Problems) (I) Lecture 2: Introduction (Eigenvalues and Eigenvalue Problems) (II) Lecture 3: Introduction (Eigenvalues and Eigenvalue Problems) (III) Lecture 4: Variational Principles and Calculus of Variations (I) Lecture 5: Variational Principles and Calculus of Variations (II) Lecture 6: Variational Principles and Calculus of Variations (III) Lecture 7: Variational Principles and Calculus of Variations (IV) Lecture 8: Variational Principles and Calculus of Variations (V) Lecture 9: Variational Characterization of Eigenvalues (I) Lecture 10: Variational Characterization of Eigenvalues (I) Lecture 11: VQE (Variational Quantum Eigensolver) (I) Lecture 12: VQE (Variational Quantum Eigensolver) eigensolver) (II) 13th Lecture: Variational Quantum Eigensolver (VQE) (III) 14th Lecture: Supplement (I) (Topics Related to Quantum Field Theory and Eigenvalue Problems I) 15th Lecture: Supplement (I) (Topics Related to Quantum Field Theory and Eigenvalue Problems II) There are no exams, but rather regular learning situations, progress, and attendance are recorded. Then, several report questions are given and students are decided. Grades are given based on the results. This lecture aims to build a foundation for tackling the above problems from the perspective of mathematical physics, making full use of quantum field theory. 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)	Lectures will be held in face to face, but lecture summaries will be recorded on video.
Learning techniques to be incorporated	Post-class Report
Suggestions on Preparation and Review	The class will be held in person, but a video summary of the lecture will be provided. Please study carefully!
Requirements
Grading Method	There are no exams, but rather regular learning situations, progress, and attendance are recorded. Then, several report questions are given and students are decided. Grades are given based on the results.
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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