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.
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
|Intercultural skills||Communication skills||✔ Specialist skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
This course consists of concurrent lectures and exercises.
|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|
■ 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)
Student performance will be assessed by the combination of the exercise (40%), and the final exam in the 15th lecture (60%).
Mechanics, Electromagnetism, Physical mathematics