▶Japanese
Post to SNS
- Home
- > School of Science
- > Physics
- > Quantum Mechanics II
- School of Science
-
School of Engineering
- Group 2
- Group 3
- Group 4
- Group 5
- Group 6
- Metallurgical Engineering
- Organic and Polymeric Materials
- Inorganic Materials
- Chemical Engineering Course
- Chemical Engineering Course(Chemical Engineering)
- Applied Chemistry Course(Chemical Engineering)
- Polymer Chemistry
- Mechanical Engineering and Science
- Mechanical and Intelligent Systems Engineering
- Mechano-Aerospace Engineering
- International Development Engineering
- Control and Systems Engineering
- Industrial and Systems Engineering
- Electrical and Electronic Engineering
- Computer Science
- Civil Engineering
- Architecture and Building Engineering
- Social Engineering
- Common Cource of Engineering
- School of Bioscience and Biotechnology
- Common Course of Undergraduate School
-
Graduate School of Science and Engineering
- Mathematics
- Physics(Particle- Nuclear- and Astro-Physics)
- Physics(Condensed Matter Physics)
- Chemistry
- Earth and Planetary Sciences
- Chemistry and Materials Science
- Metallurgy and Ceramics Science
- Organic and Polymeric Materials
- Applied Chemistry
- Chemical Engineering
- Common Course of Mechanical Engineering
- Mechanical Sciences and Engineering
- Mechanical and Control Engineering
- Mechanical and Aerospace Engineering
- Common Course of Electronic Engineering
- Electrical and Electronic Engineering
- Physical Electronics
- Communications and Integrated Systems
- Communications and Computer Engineering
- Civil Engineering
- Architecture and Building Engineering
- International Development Engineering
- Nuclear Engineering
- Graduate School of Bioscience and Biotechnology
-
Interdisciplinary Graduate School of Science and Engineering
- Built Environment
- Energy Sciences
- Computational Intelligence and Systems Science
- Electronic Chemistry
- Materials Science and Engineering
- Innovative and Engineered Materials
- Environmental Chemistry and Engineering
- Environmental Science and Technology
- Mechano-Micro Engineering
- Information Processing
- Electronics and Applied Physics
- Graduate School of Information Science and Engineering
- Graduate School of Decision Science and Technology
- Graduate School of Innovation Management
- Common Course of Graduate School
- Program for Leading Graduate Schools
- Academic unit or major
- Physics
- Instructor(s)
- Oka Makoto
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(W935) Fri3-4(W935)
- Group
- -
- Course number
- ZUB.Q206
- Credits
- 2
- Academic year
- 2017
- Offered quarter
- 4Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course covers quantum mechanical treatment of the following topics.
* particle motion in central force
* charged particles in background magnetic field
* variational and perturbation theory
Student learning outcomes
At the end of this course, students will be able to:
* Explain the energy spectrum of a hydrogen atom and its behavior in a background magnetic field by using Schroedinger's equation.
* Apply variational and perturbative methods.
Keywords
Schroedinger's equation, angular momentum, spin, hydrogen atom, Zeeman effect, fine structure, perturbation, variational methods
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
A quiz is given at each class.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Schroedinger's equation in thee-dimensional space | Understand a derivation of the energy spectrum of a particle in a cuboid. |
| Class 2 | motion in central force | Derive the Schroedinger equation in the spherical coordinate system. |
| Class 3 | angular momentum | Understand the definition of the angular momentum and the commutation relations among its compinents. |
| Class 4 | spherical harmonics | Understand the relation between particle motion on a sphere and spherical harmonics. |
| Class 5 | hydrogen atom | Derive the energy spectrum of a hydrogen atom. |
| Class 6 | Atoms in magnetic fields | Understand the interaction between charged particles and background magnetic fields. |
| Class 7 | spin | Understand the similarity and the difference between spin and orbital angular momentum. |
| Class 8 | Midterm exam to assess the students’ level of understanding on what has been taught so far and explanation of solutions | Review topics that has been taught so far. |
| Class 9 | rotation and angular momentum | Confirm that the angular momentum generates rotations. |
| Class 10 | fune structure | Understand what causes the fine structure of the D-line of Na. |
| Class 11 | variational method | Understand the variational method |
| Class 12 | time independent perturbation theory | Apply the time-independent perturbation theory |
| Class 13 | time dependent perturbation theory | Apply the time-dependent perturbation theory |
| Class 14 | product of angular momenta | Calculate composite angular momenta |
| Class 15 | Summary | Summarize your knowledge in QM. |
Textbook(s)
Assigned later
Reference books, course materials, etc.
Assigned later
Assessment criteria and methods
Evaluated by a midterm and final exams.
Related courses
- ZUB.Q204 ： Quantum Mechanics I
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students should have completed Quantum Mechanics I
