2019 Quantum Mechanics II

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Academic unit or major
Undergraduate major in Physics
Jido Daisuke  Murakami Yuta  Adachi Satoshi 
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Tue3-4(W935)  Tue5-6(H102,H104)  Fri3-4(W935)  Fri5-6(H102,H104)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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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 understand the Schroedinger's equation in the three-dimensional space, and will be able to:
* Explain the energy spectrum of a hydrogen atom and by using Schroedinger's equation.
* Apply variational and perturbative methods.


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 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 fine 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 Apply the variational method
Class 15 Summary Summarize the contents of this course.


Assign 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

  • PHY.Q207 : Introduction to Quantum Mechanics

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

Students should have completed Introduction to Quantum Mechanics

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