2019 Quantum Mechanics (EPS course)

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Academic unit or major
Undergraduate major in Earth and Planetary Sciences
Imaeda Yusuke  Nakamoto Taishi  Sato Bunei 
Course component(s)
Lecture / Exercise     
Day/Period(Room No.)
Tue3-6(I2-318, Ishikawadai Bldg. 2, 318 room)  Fri3-6(I2-318, Ishikawadai Bldg. 2, 318 room)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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Course description and aims

Quantum mechanics is one of the typical thoughts of modern physics, and students will learn how physics is constructed.
They will also understand the structure of the hydrogen atom from the point of view of quantum mechanics.
Students will learn the basic thoughts of quantum mechanics, its concepts, fundamental equations, methods of solving typical problems, and simple applications.
Each class will consist of two periods of lectures and two periods of exercises.

Student learning outcomes

This course covers quantum mechanics for students of the Department of Earth and Planetary Sciences.
By the end of this course, students will be able to understand the basic concepts of quantum mechanics.


Schrodinger equation, Harmonic oscillator, Hydrogen atom

Competencies that will be developed

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

Class flow

This course consists of concurrent lectures and exercises.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Why quantum mechanics is needed What cannot be explained in classical physics?
Class 2 Wave–particle duality Photoelectric effect, Matter wave (de Broglie wave)
Class 3 Schrödinger equation Derivation of Schrödinger equation
Class 4 The correspondence between quantum and classical mechanics Ehrenfest theorem
Class 5 One-Dimensional Bound States: 1 Particle in a box: Infinite potential well
Class 6 One-Dimensional Bound States: 2 Particle in a one-dimensional ring
Class 7 Transmission and reflection in one-dimensional potential Particle in a box: Finite potential well
Class 8 One-dimensional Harmonic Oscillator Hermite polynomial
Class 9 Operator Operator method
Class 10 Schrödinger equation in the spherically symmetric field: Angular momentum Legendre polynomial
Class 11 Schrödinger equation in the spherically symmetric field: Radial equation Radial Eigenfunctions
Class 12 Hydrogen atom 1: How to solve the equations many solutions
Class 13 Hydrogen atom 2: Physical interpretation of equations Distribution of electron
Class 14 Perturbation theory Basic concept of perturbation
Class 15 Examination Examination


Not specified

Reference books, course materials, etc.

■ Yasushi Suto, "Analytical Mechanics and Quantum Mechanics", University of Tokyo Press (Japanese)
■ Ryuzo Abe, "Introduction in Quantum Mechanics", Iwanami Shoten Publishers, ISBN4-00-007746-5 (Japanese)
■ Kenichi Goto et al., "Exercise for Quantum Mechanics", Kyoritsu Shuppan, ISBN4-320-03171-7 (Japanese)
■ Yoshio Kuramoto, Junichi Ezawa, Modern Physics Basic Series "Quantum Mechanics", Asakura Publishing, ISBN978-4-254-13771-2 (Japanese)

Assessment criteria and methods

Student performance will be assessed by the combination of the exercise (40%), and the final exam in the 15th lecture (60%).

Related courses

  • EPS.B203 : Mechanics (EPS course)

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

Mechanics, Electromagnetism, Physical mathematics

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