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- Academic unit or major
- Physics
- Instructor(s)
- Imamura Yosuke
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon1-2(W621) Thr1-2(W621)
- Group
- -
- Course number
- ZUB.Q206
- Credits
- 2
- Academic year
- 2016
- Offered quarter
- 1Q
- Syllabus updated
- 2016/4/27
- 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
* scatterings
The aim of this course is to teach basic methods so that students becomes able to solve typical problems related to these topics by themselves.
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.
* Calculate the cross sections of scattering processes.
Keywords
Schroedinger's equation, angular momentum, spin, hydrogen atom, Zeeman effect, fine structure, scattering cross section, Rutherford scattering, partial wave expansion
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Students are sometimes given exercise problems for assessment of understanding.
After every class students should review the topic in the 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 | hyperfine structure | Understand the origin of the hyperfine splitting in the emisson spectrum of hydrogen atoms. |
| Class 12 | anomalous Zeeman effect | Calculate the splitting due to the anomalous Zeeman effect. |
| Class 13 | scattering cross section | Understand the definition of the differential cross section. |
| Class 14 | Born approximation | Calculate the scattering cross section of Rutherford scattering. |
| Class 15 | partial wave expansion | Calculate the scattering cross section by a solid ball by using the partial wave expansion. |
Textbook(s)
Not required
Reference books, course materials, etc.
Not required
Assessment criteria and methods
Students' course score are based on 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
