2022　Quantum Mechanics I

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Physics
Instructor(s)
Nishida Yusuke
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Mon5-6(W631)  Thr5-6(W631)
Group
-
Course number
ZUB.Q204
Credits
2
2022
Offered quarter
3Q
Syllabus updated
2022/4/20
Lecture notes updated
-
Language used
Japanese
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Course description and aims

This course focuses on the fundamental of quantum mechanics widely applicable to the field of science and engineering.

The aim of the course is to learn the concepts of the quantum mechanics such as the wave function and operators and to understand interesting phenomena inherent in the quantum mechanics such as the discretization of physical quantities and uncertainly in the measurements.

Student learning outcomes

By the end of this course, students will be able to:
1) explain the fundamental concepts of the quantum mechanics such as wave-particle duality and stochastic interpretation.
2) solve the Schoedinger equations for some simple systems.
3) explain the quantum phenomena such as tunnel effects, discretization of physical quantities, and uncertainty principle.

Keywords

wave-particle duality, wave function, quantum state, Schroedinger equations

Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Lectures by blackboard

Course schedule/Required learning

Course schedule Required learning
Class 1 wave-particle duality, photoelectric effect, atom model, Planck constant Understand the fundamental of quantum mechanics.
Class 2 wave function and stochastic interpretation, double slit experiment Understand the wave function and its interpretation
Class 3 operator, expectation value, eigenfunction Understand the operator, expectation values, and eigenfunctions.
Class 4 measurement and uncertainty in quantum mechanics Understand the uncertainty principle.
Class 5 wave packet, phase velocity, group velocity Understand the properties of wave packet.
Class 6 quantum state, steady state, bracket Understand quantum states and steady states, and use the bracket representation
Class 7 Schoedinger equation Derive the Schoedinger equation
Class 8 boundary condition and properties of wave function, confined state Understand the boundary condition and confined states
Class 9 potential well, particle in a box, zero-point energy Solve the Schroedinger equations for a free particle in the quantum well.
Class 10 motion of wave packet, motion of classical particles Understand the motion of wave packet, motion of classical particles
Class 11 tunnel effect and its related phenomenon, beta-decay Understand the tunnel effect
Class 12 Bohr-Sommerfeld quantum condition, Gamov's penetration factor) Understand the Bohr-Sommerfeld quantum condition
Class 13 harmonic oscillator, raising and lowering operator Solve the harmonic ocsillator
Class 14 coherent state, light and photon Understand the coherent states

Out-of-Class Study Time (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 afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

Lecture notes will be distributed via T2SCHOLA.

Reference books, course materials, etc.

Textbooks specified by the instructor.

Assessment criteria and methods

Students’ course scores are based on final exams.

Related courses

• ZUB.Q203 ： Classical Mechanics
• ZUB.Q215 ： Exercises in Quantum Mechanics I

Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites are necessary.