### 2019　Quantum Mechanics II

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Academic unit or major
Physics
Instructor(s)
Jido Daisuke
Course component(s)
Lecture
Mode of instruction

Day/Period(Room No.)
Tue3-4(W935)  Fri3-4(W935)
Group
-
Course number
ZUB.Q206
Credits
2
Academic year
2019
Offered quarter
4Q
Syllabus updated
2019/11/13
Lecture notes updated
-
Language used
Japanese
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### 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

The lecture is given using black board.

### 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 spherical harmonics Separate out the angular variables and drive spherical harmonics
Class 3 angular momentum Understand the definition of the angular momentum and the commutation relations among its components.
Class 4 wave equation for radial direction Understand the energy spectrum of a particle in a spherical square well potential.
Class 5 hydrogen atom Derive the energy spectrum of a hydrogen atom.
Class 6 angular momentum algebra Construct the eigenstates from the commutation relations
Class 7 spin Understand the similarity and the difference between spin and orbital angular momentum.
Class 8 motions in electromagnetic fields Understand the interaction between charged particles and background electromagnetic fields.
Class 9 product of angular momenta Explain the product of two angular momenta.
Class 10 fune structure Explain the fine structures of hydrogen atom.
Class 11 time independent perturbation theory for nondegenerate case Apply the time independent perturbation theory for nondegenerate systems
Class 12 time independent perturbation theory for degenerate case Apply the time independent perturbation theory for degenerate systems
Class 13 time dependent perturbation theory Apply the time dependent perturbation theory
Class 14 variational method Understand the variational method
Class 15 Summary Summarize your knowledge in QM.

Assigned later

### Reference books, course materials, etc.

Handouts are given out at the class

### Assessment criteria and methods

Evaluated by problem solving and written examination at the end of the course.

### Related courses

• ZUB.Q204 ： Quantum Mechanics I

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

Students should have completed Quantum Mechanics I