Theory of Quantum for Electrical and Electronic Engineering
| Numbering Code | U-ENG26 36081 LJ72 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Wed.4 | |
| Instructor name | TAKEUCHI SHIGEKI (Graduate School of Engineering Professor) | |||
| Outline and Purpose of the Course | Quantum mechanics describes the behavior of electrons and photons and forms the foundation of natural law. It is also essential for understanding current electronic devices and various advanced quantum technologies such as quantum computers and quantum cryptography. In this lecture, we explain basic matters on quantum mechanics. After discussing the collapse of classical mechanics and old quantum theory, the Schrödinger equation and some solutions will be explained. After that, we discuss the general properties of the wave function and the uncertainty principle. In addition, the basics of quantum information science will be overviewed. | |||
| Course Goals | To grasp the physical image of the behavior of quanta. Specifically, we aim to understand fundamental concepts of quantum mechanics such as superposition state, uncertainty principle, quantum entanglement, etc. and to be able to perform some basic calculations using wave functions. | |||
| Schedule and Contents |
1. Overview and old quantum theory (2～3times) After describing general features and applications of quantum mechanics, we explain the collapse of classical mechanics and the old quantum theory. 2. Schroedinger equation (4～6times) We introduce the Schrödinger equation and discuss its eigenvalue problems of two dimensional and three dimensional potential well. 3. Dynamics of quanta (1～2 times) We discuss the dynamics of quanta using time evolution operator. 4. General properties of wave functions (3～4times) In order to discuss the general properties of wave functions, we introduce a complex linear space (Hilbert space) and explain orthogonality of wave functions and operators. In addition, the uncertainty principle will be discussed. 5. Basics of quantum information technology (1～2times) The basics of quantum information technology is overviewed. |
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| Evaluation Methods and Policy | Evaluate (From 0 to 100 points) comprehensively by regular test (60%), quizzes during lectures(20%), and some reports(20%). The submission of the reports are in principle mandatory. | |||
| Course Requirements | Basic knowledge of linear algebra, Fourier analysis, differential equation, dynamics, electromagnetism. | |||
| Study outside of Class (preparation and review) | Preliminary review and review are indispensable. Some report tasks will be given (mandatory). | |||
| Textbooks | Textbooks/References | Official textbook is not assigned. | ||
| References, etc. | Some textbooks for reference will be introduced during the lecture. | |||
| Courses delivered by Instructors with Practical Work Experience |
分類： A course with practical content delivered by instructors with practical work experience Details of Instructors’ Practical Work Experience： The professor have been involved in the research of quantum information technology at a company. Details of Practical Classes Delivered： In this lecture, how quantum theory has been used in society will be discussed. |
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