概要:
Nanomaterials design is a method of designing various materials that support the present and future science and technologies. An objective of this course is to develop a scientific way of thinking by learning nanomaterial design. First, students are going to learn the outline of quantum mechanics, which explains the motions of nuclei and electrons that make up a material. Second, the students are going to learn how quantum mechanics clarifies the composition and characteristics (physical properties) of materials. Lastly, the students are going to learn the state-of-the-art nanomaterials design method to design highly-functional materials, which will be required in various engineering fields in the future.
授業の進め方・方法:
Outline and necessary subjects will be illustrated through theory lectures, followed by practice lectures.
The student is expected to solve the practice problems with her/his own hands, and to explain her/his solutions to other students easy to understand.
注意点:
In this course, the learning time guaranteed in the class and the total of the standard self-study time necessary for the preparation / review are 90 hours of study content.
More than two-thirds of the attendance is required.
|
|
週 |
授業内容 |
週ごとの到達目標 |
| 前期 |
| 1stQ |
| 1週 |
Outline of Quantum Mechanics (First Half)
Learn the outline of quantum mechanics and differences between quantum mechanics and Newtonian mechanics by comparing the two mechanics. |
The student explains the differences between quantum mechanics and Newtonian mechanics
|
| 2週 |
Outline of Quantum Mechanics (Second Half)
Learn the method of expressing motions quantum mechanically. |
The student explains the description of the particle motion in quantum mechanics.
|
| 3週 |
Basics of Quantum Mechanics 1 (Operator Algebra)
Learn operator algebra, which is necessary to learn quantum mechanics |
The student handles the basic algebra necessary in quantum mechanics.
|
| 4週 |
Basics of Quantum Mechanics 2 (Schrödinger Equation)
Schrodinger wave equation is the basic equation in quantum mechanics. Learn Schrödinger wave equation. |
The students explains the relation between wave packet and particle motion.
|
| 5週 |
Basics of Quantum Mechanics 3 (Commutation Relations I: Coordinates and Momentum)
Learn the commutation relation between coordinates and momentum. |
The students operates the commutator brackets to coordinates and momentum.
|
| 6週 |
Basics of Quantum Mechanics 4 (Commutation Relations II: Angular Momentum)
Learn the commutation relation regarding an angular momentum. |
The students operates the commutator brackets to coordinates and momentum.
|
| 7週 |
Basics of Quantum Mechanics 5 (Hermitian Operators)
Learn about Hermitian operators. |
The student explains the Hermitian, and calculates the time evolution of expectation value of physical quantity.
|
| 8週 |
Basics of Quantum Mechanics 6 (Square well Potential)
Learn the quantum states of a particle bound by a square-well potential. |
The student derives the quantum states of a particle bound by a square-well potential.
|
| 2ndQ |
| 9週 |
Basics of Quantum Mechanics 7 (One-Dimensional Scattering Problem and Tunnel Effect)
Learn about scattering problems and understand the tunnel effects. |
The student derives the transmission probability through the square-well potential energy barrier.
|
| 10週 |
Basics of Quantum Mechanics 8 (Harmonic Oscillators)
Learn about the quantum states of harmonic oscillators. |
The student derives the quantum states of Harmonic Oscillator.
|
| 11週 |
Basics of Quantum Mechanics 9 (Lattice Specific Heat)
Learn about Einstein solid. |
The student derives the heat capacity of Einstein solid.
|
| 12週 |
Electron Configuration of Atom 1
Learn about the quantum states of an electron bounded by the Coulomb force. |
The student explains the quantum states of an electron in an atom.
|
| 13週 |
Electron Configuration of Atom 2 (Spin and Quantum Statistics)
Learn about the existence of spin, the outline of the quantum statistics, and the periodic laws of elements. |
The student explains the electron configuration in an atom.
|
| 14週 |
Cohesion Mechanism of atoms in materials (Ionic Bond, Covalent Bond and Metallic Bond)
Learn the cohesion mechanisms of atoms in materials. |
The student explains the ionic bond, covalent bond and metallic bonds )
Learn the cohesion mechanisms of atoms in materials.
|
| 15週 |
Density Functional Theory and Computational Material Design
Learn the density functional theory, the first principle calculation based on the density functional theory, and nanomaterials design using the first-principle calculations. |
The student explains the nanomaterials design methods.
|
| 16週 |
Term-end examination |
|