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 |
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This course consists of concurrent lectures and exercises.
Course schedule | Required learning | |
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Class 1 | Why quantum mechanics is needed | What classical physics cannot explain |
Class 2 | particle aspect of light and wave aspect of electron | wave and particle |
Class 3 | Schrodinger equation | relation to the classical physics |
Class 4 | stationary state, operator, eigen values | what physical mathematics tells us |
Class 5 | particle in the 1-D potential field | difference from the classical theory |
Class 6 | particle in the 3-D potential field | energy level |
Class 7 | transmission and reflection | probability |
Class 8 | 1-D harmonic oscillator | Hermitian polynomial |
Class 9 | harmonic oscillator and operator | how to use operator |
Class 10 | Schrodinger equation in the spherically symmetric field : angular momentum | Legendre's polynomial |
Class 11 | Schrodinger equation in the spherically symmetric field : radial equation | Correspondence to the classical mechanism |
Class 12 | hydrogen atom 1 to solve the equation | many solutions |
Class 13 | hydrogen atom 2 physical interpretation of equations | distribution of electron |
Class 14 | hydrogen atom 3 He and other applications | difference between H and He |
Class 15 | perturbation theory | basic concept of perturbation |
Quantum Mechanics (I) S. Koide Shokabo
Quantum Mechanics L. I. Schiff
examination and reports
mechanics electromagnetism physical mathematics