Course title | |||||
量子力学概論 [Introduction to Quantum Dynamics] | |||||
Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
Department | Year | 3~4 | Semester | 1st | |
Course type | 1st | Course code | 023703 | ||
Instructor(s) | |||||
白樫 淳一 [SHIRAKASHI Junichi] | |||||
Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | Email address |
Course description |
This course covers the experimental basis of quantum physics and aims to teach quantum mechanics to anyone with a reasonable college-level understanding of physical science or engineering. Quantum mechanics was once mostly of interest to physicists, chemists and other basic scientists. Now the concepts and techniques of quantum mechanics are essential in many areas of engineering and science such as materials science, nanotechnology, electronic devices, and photonics. This course is a substantial introduction to quantum mechanics and how to use it. It is specifically designed to be accessible not only to physicists but also to students and technical professionals over a wide range of science and engineering backgrounds. |
Expected Learning |
After completing this course the students should be able to explain the following topics: photoelectric effect, Compton scattering, photons, Franck-Hertz experiment, the Bohr atom, electron diffraction, de Broglie waves, and the wave-particle duality of matter and light. Introduction to wave mechanics: Schrodinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zero-point energies. Solutions to Schrodinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic oscillator. Schrodinger's equation in three dimensions: central potentials and introduction to hydrogenic systems. |
Course schedule |
Topic 1: The basic phenomena of the quantum physics and experimental background, particles and atomic models. Black-body radiation, line spectra, the photon, photoelectric effect, Compton-dispersion. Bohr's atomic model. Topic 2: One-dimensional systems: The eigenvalue problem, stationary states, expectation values, operators. Particle in a box, the harmonic oscillator, transmission and reflection. Heisenberg's uncertainty relations. Topic 3: Three-dimensional systems. Orbital angular momentum and central motion. One-electron atoms: The Schrodinger equation, energy eigenvalues wave functions, energy level diagram. Optical spectroscopy on the hydrogen atom. Basic perturbation theory, variational theory. Topic 4: Many-electron atoms: Spin. Addition of angular moments. Identical particles. The Pauli exclusion principle, The central field approximation. Zeeman effect, electron configurations, periodic system, spin-orbit coupling, terms, fine structure levels. Spectroscopies. Fermions and bosons. Topic 5: Applications of quantum physics in nature, technical developments and society, for example the quantum mechanical origin of the earth's temperature, tunnel diodes and atomic magnetism. Topic 6: Interpretations of the state-of-the-art quantum physics. Quantum computers as a tool in the future. |
Prerequisites |
Basic Physics, Calculus |
Required Text(s) and Materials |
物理学スーパーラーニングシリーズ 量子力学、佐川弘幸・清水克多郎 著、シュプリンガー・フェアラーク東京 (in Japanese) |
References |
Assessment/Grading |
Final Exam: 80% Homework: 20% Remarks/comments/statements are considered. The grade evaluation in this online class is premised on all attendances, and comprehensively evaluates the attitude to learn, quizzes, report, and online tests. Standard study time set by our university is required to get the grade. The grade will be given according to the following criteria by comprehensive evaluation; S: 90 points or more, A: 80 or more and less than 90 points, B: 70 or more and less than 80 points, C: 60 or more and less than 70 points. |
Message from instructor(s) |
Course keywords |
Heisenberg's Uncertainty Relations, Schrodinger Equation, Spin, Tunneling, Wavefunction |
Office hours |
16:30-18:00 (Fri) |
Remarks 1 |
Remarks 2 |
Related URL |
http://web.tuat.ac.jp/~nanotech/index.htm |
Lecture Language |
Japanese |
Language Subject |
Last update |
10/12/2020 7:49:13 PM |