Outline:
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.
Style:
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.
Notice:
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.
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Theme |
Goals |
1st Semester |
1st Quarter |
1st |
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
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2nd |
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.
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3rd |
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.
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4th |
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.
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5th |
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.
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6th |
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.
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7th |
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.
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8th |
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.
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2nd Quarter |
9th |
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.
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10th |
Basics of Quantum Mechanics 8 (Harmonic Oscillators) Learn about the quantum states of harmonic oscillators. |
The student derives the quantum states of Harmonic Oscillator.
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11th |
Basics of Quantum Mechanics 9 (Lattice Specific Heat) Learn about Einstein solid. |
The student derives the heat capacity of Einstein solid.
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12th |
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.
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13th |
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.
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14th |
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.
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15th |
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.
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16th |
Term-end examination |
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