### 2017　Quantum Mechanics II B

Font size  SML

Instructor(s)
Oka Makoto  Yokoyama Takehito  Nasu Joji
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Tue3-6(3.4限W935, 5.6限H104)  Fri3-6(3.4限W935, 5.6限H104)
Group
B
Course number
PHY.Q208
Credits
3
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

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - - -

### Class flow

Lecture and recitation are combined.

### 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 box.
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 Motions 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 None
Class 9 Rotation and angular momentum Confirm that the angular momentum generates rotations.
Class 10 Fine structure Explain the fine structures of hydrogen atom.
Class 11 Variational method Apply 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 Explain the product of two angular momenta.
Class 15 Summary Summarize the contents of this course.

Assign later

Assign later

### Assessment criteria and methods

Evaluated by a midterm and final exams.

### Related courses

• PHY.Q207 ： Introduction to Quantum Mechanics

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students should have completed Introduction to Quantum Mechanics