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School of Environment and Society
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Earth and Planetary Sciences
- Instructor(s)
- Imaeda Yusuke Nakamoto Taishi
- Class Format
- Lecture / Exercise (Livestream)
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-6(I123) Fri3-6(I123)
- Group
- -
- Course number
- EPS.B331
- Credits
- 4
- Academic year
- 2022
- Offered quarter
- 1Q
- Syllabus updated
- 2022/3/28
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
Quantum mechanics is one of the typical thoughts of modern physics, and students will learn how physics is constructed.
They will also understand the structure of the hydrogen atom from the point of view of quantum mechanics.
Students will learn the basic thoughts of quantum mechanics, its concepts, fundamental equations, methods of solving typical problems, and simple applications.
Each class will consist of two periods of lectures and two periods of exercises.
Student learning outcomes
This course covers quantum mechanics for students of the Department of Earth and Planetary Sciences.
By the end of this course, students will be able to understand the basic concepts of quantum mechanics.
Keywords
Schrodinger equation, Harmonic oscillator, Hydrogen atom
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
This course consists of concurrent lectures and exercises.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Why quantum mechanics is needed | What cannot be explained in classical physics? |
| Class 2 | Wave–particle duality | Photoelectric effect, Matter wave (de Broglie wave) |
| Class 3 | Schrödinger equation | Derivation of Schrödinger equation |
| Class 4 | The correspondence between quantum and classical mechanics | Ehrenfest theorem |
| Class 5 | One-Dimensional Bound States: 1 | Particle in a box: Infinite potential well |
| Class 6 | One-Dimensional Bound States: 2 | Particle in a one-dimensional ring |
| Class 7 | Transmission and reflection in one-dimensional potential | Particle in a box: Finite potential well |
| Class 8 | One-dimensional Harmonic Oscillator | Hermite polynomial |
| Class 9 | Operator | Operator method |
| Class 10 | Schrödinger equation in the spherically symmetric field: Angular momentum | Legendre polynomial |
| Class 11 | Schrödinger equation in the spherically symmetric field: Radial equation | Radial Eigenfunctions |
| Class 12 | Hydrogen atom 1: How to solve the equations | many solutions |
| Class 13 | Hydrogen atom 2: Physical interpretation of equations | Distribution of electron |
| Class 14 | Examination | Examination |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to spend a certain length of time outside of class on preparation and review (including for assignments), as specified by the Tokyo Institute of Technology Rules on Undergraduate Learning (東京工業大学学修規程) and the Tokyo Institute of Technology Rules on Graduate Learning (東京工業大学大学院学修規程), for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Not specified
Reference books, course materials, etc.
■ Yasushi Suto, "Analytical Mechanics and Quantum Mechanics", University of Tokyo Press (Japanese)
■ Ryuzo Abe, "Introduction in Quantum Mechanics", Iwanami Shoten Publishers, ISBN4-00-007746-5 (Japanese)
■ Kenichi Goto et al., "Exercise for Quantum Mechanics", Kyoritsu Shuppan, ISBN4-320-03171-7 (Japanese)
■ Yoshio Kuramoto, Junichi Ezawa, Modern Physics Basic Series "Quantum Mechanics", Asakura Publishing, ISBN978-4-254-13771-2 (Japanese)
Assessment criteria and methods
Student performance will be assessed by the combination of the exercise (40%), and the final exam in the 15th lecture (60%).
Related courses
- EPS.B203 ： Mechanics (EPS course)
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Mechanics, Electromagnetism, Physical mathematics
