Numbering Code	U-ENG25 35018 LJ75 U-ENG25 35018 LJ77 U-ENG25 35018 LJ71	Year/Term	2022 ・ Second semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Fri.3
Instructor name	SUZUKI MOTOFUMI (Graduate School of Engineering Professor)
Outline and Purpose of the Course	In this subject, lectures focus on helping students understand the main concepts underlying quantum mechanics and quantum statistical mechanics, as well as deepening their quantum mechanical understanding of the structure of an atom, structure of a molecule, and the electronic structure of a solid material.
Course Goals	To master the main concepts underlying quantum mechanics and quantum statistical mechanics, and to deepen one's quantum mechanical understanding of the structure of an atom, the structure of a molecule, and the electronic structure of a solid material.
Schedule and Contents	(1) Development of quantum mechanics [1-2 weeks] Students receive an overview of Rutherford's atomic model and its difficulties, Bohr's atomic model, experimental facts that show light particulates and the fluctuation of electrons, etc. In addition, students develop an understanding of the limits of classical mechanics and the necessity of quantum mechanics. (2) Principles of quantum mechanics [4 weeks] Students are introduced to wave functions and the Schrodinger equation. Further, students gain an understanding of differences between classical mechanics and quantum mechanics by studying the interpretation and properties of wave functions, expected values of physical quantities, and the properties of operators that reveal observable physical quantities. By examining the eigenvalues of operators and the properties of eigenfunctions, students also develop an understanding of the superposition principle of wave functions. (3) Motion in one dimension [2-3 weeks] Students are asked to think about the motion of a one-dimensional free particle when there is no external field. By examining the motion of particles when potential hills are present, and studying reflection via potential hills and the transmission phenomena of potential hills, students also gain an understanding of the tunneling effect. In addition, the bound state is explained using the square-well potential as an example. (4) Harmonic oscillator [2-3 weeks] Students review harmonic oscillation in classical mechanics and derive the wave function of a one-dimensional harmonic oscillator. Based on this, students are asked to think about the motion of a multidimensional harmonic oscillator and are given an explanation of the Einstein model of specific heat. (5) Hydrogen atom [4 weeks] Students are asked to think about motion in a spherically symmetric field using a hydrogen atom as an example. Next, polar coordinates are introduced to allow students to separate a wave function into angular and radial parts. Then, an explanation is given on angular momentum in quantum mechanics. Following this, students are asked to obtain the wave function of a hydrogen atom and are given an explanation of the spectrum of a hydrogen atom. Based on the outcome of these activities, the wave function of a multi-electron atom is then examined generally, and an explanation is given on atomic analyses performed via atomic spectroscopy and Auger electron spectroscopy. In addition, students also gain an understanding of the origin of covalent bonds using a hydrogen molecule as an example.
Evaluation Methods and Policy	[Evaluation method] Evaluation is conducted through a short-answer test. 　[Evaluation criteria] Students must obtain at least 60 out of 100 marks in the short-answer test 60 marks or above: Pass 59 marks or below: Fail In addition, up to 30% of the report assignments given during teaching sessions may be added to the above evaluation.
Course Requirements	None
Study outside of Class (preparation and review)	・ Students must prepare for and review lecture materials distributed in teaching sessions. ・ When appropriate, students are asked to submit reports and assignments demonstrating their learning from preparation and review.
Textbooks	Textbooks/References	Others; none
References, etc.	Others; there are many textbooks, but any basic textbook will suffice.
Courses delivered by Instructors with Practical Work Experience	分類： A course with practical content delivered by instructors with practical work experience