2025 (Current Year) Faculty Courses School of Science Undergraduate major in Physics
Introduction to Quantum Mechanics（Exercise) B
- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Keisuke Fujii / Satoshi Adachi / Yosuke Imamura
- Class Format
- Exercise
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Class
- B
- Course Code
- PHY.Q217
- Number of credits
- 010
- Course offered
- 2025
- Offered quarter
- 3Q
- Syllabus updated
- Apr 2, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course is complementary to the lecture course. After passing this course, the students will be able to account for the basic theory in quantum mechanics, such as wave functions, operators, and Schrodinger equation, and further be able to apply the theory by solving exercise problems.
Course description and aims
The students will be able to solve basic problems of quantum mechanics, such as particle-in-a-box and harmonic oscillators.
Keywords
Schrodinger equation, operators, wave function
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Presentations and reports are required.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Wave-particle duality, atomic model, Planck's constant, wave function and its probability interpretation, double-slit experiment. | Understand the fundamental concepts of quantum mechanics. |
| Class 2 | Operators, expectation values, eigenfunctions, and uncertainty principle | Understand operators, expectation values, and eigenfunctions. |
| Class 3 | Wave packet, phase velocity, group velocity, quantum state, stationary state, bra-ket notation. | Understand the properties of wave packets, quantum states, and stationary states. Also, be able to use bra-ket notation. |
| Class 4 | Schrödinger equation and wave functions | Derive the Schrödinger equation and understand the conditions for wave functions. |
| Class 5 | Particle-in-a-box problems | Solve the Schrödinger equation for a particle in one-dimensional potential well. |
| Class 6 | Tunnel effect | Understand the tunnel effect. |
| Class 7 | Harmonic oscillators, creation and annihilation operators, and coherent states | Solve the harmonic oscillator. Understand the coherent states. |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterward (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Same as those used in the lecture (Introduction to Quantum Mechanics or, Quantum Mechanics 1)
Reference books, course materials, etc.
L.I. Schiff, "Quantum Mechanics" McGraw-Hill College.
Evaluation methods and criteria
Evaluate based on presentations and reports.
Related courses
- PHY.Q207 ： Introduction to Quantum Mechanics
- ZUB.Q204 ： Quantum Mechanics I
Prerequisites
nothing