HC095000 Exercises in Quantum Mechanics

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Science

Lecture Code HC095000 Subject Classification Specialized Education

Subject Name 量子力学演習

Subject Name
（Katakana）リョウシリキガクエンシュウ

Subject Name in
English Exercises in Quantum Mechanics

Instructor SATO HITOSHI,SHIMURA YASUYUKI,MIYAMOTO KOUJI

Instructor
(Katakana) サトウ　ヒトシ,シムラ　ヤスユキ,ミヤモト　コウジ

Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  First Semester

Days, Periods, and Classrooms (1st) Weds7-10：SCI B301,SCI E211,AdSM 402N

Lesson Style Seminar Lesson Style
(More Details) 　

Problems and texts are prepared by lecturer.  Attendees are required to solve and understand the problems.
In-class exercise using the blackboard. Preparation and review are highly required.

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

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 06 : Physics

Eligible Students Semester No. 5

Keywords Quantum Mechanics, matrix algebra, angular momentum,  perturbation theory

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) Physics
（Abilities and Skills）
・Ability to formulate and solve physical problems.

Class Objectives
/Class Outline To understand Quantum Mechanics, we will give exercises and problems for Quantum Mechanics II.

Class Schedule 1. Review of quantum mechanics (I): Schroedinger equation, wave functions, probability interpretation.
2. Review of quantum mechanics (II): Schroedinger equation, wave functions, probability interpretation.
3. Review of quantum mechanics (III): operators, commutation relations, uncertainty principle, Delta function.
4. Linear algebra of quantum mechanics (I): review of linear algebra, operators and observables, eigenvalue problems.
5. Linear algebra of quantum mechanics (II): review of linear algebra, operators and observables, eigenvalue problems.
6. Examples (I): square-well potential, harmonic oscillator
7. Examples (II): hydrogen atom.
8. Mid-term examination.
9. Angular momentum (I): orbital angular momentum
10. Angular momentum (II): spin angular momentum, total angular momentum
11. Approximation methods (I): time independent perturbation without energy degeneracy
12. Approximation methods (II): time independent perturbation with energy degeneracy
13. Approximation methods (III): time dependent perturbation theory
14. Approximation methods (IV): variational method
15. Problems: absorption and emission of light, electron scattering.

16. Final examination.

The schedule follows that of Quantum Mechanics II.
You are required to prepare, attend, and take part in the exercises.
Materials for the exercise will be prepared by the lecturer.
The contents and schedule will be adjusted depending on the level of the understanding of the attendees.
Homework assignment and preparation is required for the in-class presentation.

Text/Reference
Books,etc. Basic problems and exercises are given by each lecturer.
The recommended texts or exercise books are indicated by each lecturer and in Quantum Mechanics II.
Homework exercise is recommended for those who have less skill for manipulating equations, to understand the physics in quantum mechanics.

PC or AV used in
Class,etc. 　

(More Details) Textbook or materials for the exercise.
Note books, pencils, and presentation on blackboard.

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review 1-3rd: Review of the basic concepts of quantum mechanics, probability interpretation, Schroedinger equation, etc.
4-5th: Review of linear algebra. Rather comprehensive preparations are required.
6-7th: learn exactly solvable problems. Actual computations are required.
9-10th: The concepts learned in 4-5th lectures are used to understand angular momentum in quantum mechanics. Review of 4-5th lectures might be required.
10-14th: learn perturbation theories. This requires rather huge amount of calculations. The preparations and actual computations will be required using some basic text books or exercise books.
15th: solve some physical phenomena using the learned concepts.

Requirements You are required to prepare for homework problems.
After the exercise, reviewing the idea and concepts by tracing the calculations is recommended to master them.
Without it, you could get stuck.
The class is divided into three groups.
The grouping list will be announced in MOMIJI and in the physical science course bulletin board.
You are required to have mastered Quantum Mechanics I.

Grading Method Reports, presentation, mini tests, mid-term and final examinations.
The following weight ratio will be reflected to your final grade.
mid-term test(40%), final exam.(40%),
reports, presentation, mini test(20%)

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other We give lectures in English for students having not-enough Japanese language skills.

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	2024Year	School/Graduate School	School of Science
Lecture Code	HC095000	Subject Classification	Specialized Education
Subject Name	量子力学演習
Subject Name （Katakana）	リョウシリキガクエンシュウ
Subject Name in English	Exercises in Quantum Mechanics
Instructor	SATO HITOSHI,SHIMURA YASUYUKI,MIYAMOTO KOUJI
Instructor (Katakana)	サトウ　ヒトシ,シムラ　ヤスユキ,ミヤモト　コウジ
Campus	Higashi-Hiroshima	Semester/Term	3rd-Year, First Semester, First Semester
Days, Periods, and Classrooms	(1st) Weds7-10：SCI B301,SCI E211,AdSM 402N
Lesson Style	Seminar	Lesson Style (More Details)
Problems and texts are prepared by lecturer. Attendees are required to solve and understand the problems. In-class exercise using the blackboard. Preparation and review are highly required.
Credits	2.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	06 : Physics
Eligible Students	Semester No. 5
Keywords	Quantum Mechanics, matrix algebra, angular momentum, perturbation theory
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)	Physics （Abilities and Skills）・Ability to formulate and solve physical problems.
Class Objectives /Class Outline	To understand Quantum Mechanics, we will give exercises and problems for Quantum Mechanics II.
Class Schedule	1. Review of quantum mechanics (I): Schroedinger equation, wave functions, probability interpretation. 2. Review of quantum mechanics (II): Schroedinger equation, wave functions, probability interpretation. 3. Review of quantum mechanics (III): operators, commutation relations, uncertainty principle, Delta function. 4. Linear algebra of quantum mechanics (I): review of linear algebra, operators and observables, eigenvalue problems. 5. Linear algebra of quantum mechanics (II): review of linear algebra, operators and observables, eigenvalue problems. 6. Examples (I): square-well potential, harmonic oscillator 7. Examples (II): hydrogen atom. 8. Mid-term examination. 9. Angular momentum (I): orbital angular momentum 10. Angular momentum (II): spin angular momentum, total angular momentum 11. Approximation methods (I): time independent perturbation without energy degeneracy 12. Approximation methods (II): time independent perturbation with energy degeneracy 13. Approximation methods (III): time dependent perturbation theory 14. Approximation methods (IV): variational method 15. Problems: absorption and emission of light, electron scattering. 16. Final examination. The schedule follows that of Quantum Mechanics II. You are required to prepare, attend, and take part in the exercises. Materials for the exercise will be prepared by the lecturer. The contents and schedule will be adjusted depending on the level of the understanding of the attendees. Homework assignment and preparation is required for the in-class presentation.
Text/Reference Books,etc.	Basic problems and exercises are given by each lecturer. The recommended texts or exercise books are indicated by each lecturer and in Quantum Mechanics II. Homework exercise is recommended for those who have less skill for manipulating equations, to understand the physics in quantum mechanics.
PC or AV used in Class,etc.
(More Details)	Textbook or materials for the exercise. Note books, pencils, and presentation on blackboard.
Learning techniques to be incorporated
Suggestions on Preparation and Review	1-3rd: Review of the basic concepts of quantum mechanics, probability interpretation, Schroedinger equation, etc. 4-5th: Review of linear algebra. Rather comprehensive preparations are required. 6-7th: learn exactly solvable problems. Actual computations are required. 9-10th: The concepts learned in 4-5th lectures are used to understand angular momentum in quantum mechanics. Review of 4-5th lectures might be required. 10-14th: learn perturbation theories. This requires rather huge amount of calculations. The preparations and actual computations will be required using some basic text books or exercise books. 15th: solve some physical phenomena using the learned concepts.
Requirements	You are required to prepare for homework problems. After the exercise, reviewing the idea and concepts by tracing the calculations is recommended to master them. Without it, you could get stuck. The class is divided into three groups. The grouping list will be announced in MOMIJI and in the physical science course bulletin board. You are required to have mastered Quantum Mechanics I.
Grading Method	Reports, presentation, mini tests, mid-term and final examinations. The following weight ratio will be reflected to your final grade. mid-term test(40%), final exam.(40%), reports, presentation, mini test(20%)
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	We give lectures in English for students having not-enough Japanese language skills.
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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