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科目名
Course Title
600 量子系物理工学特論 [Advanced Quantum Theory]
e3: Advanced Quantum Theory [量子系物理工学 E]
講義題目
Subtitle
責任教員
Instructor-in-charge
担当教員
Other instructors
科目種別
Class specification
鈴浦 秀勝 (工学研究院応用物理学部門)
Hidekatsu SUZUURA [Division of Applied Physics] Email: [email protected]
工学院専門科目 Engineering
開講年度
Academic year
2011
開講学期
Semester
1 学期
Summer
時間割番号
e3 Course No.
3802
授業形態
Class type
対象学科・クラス
Eligible department/class
講義
Lecture
単位数
Credits
補足事項
Other information
2
対象年次
Expected students
MC1 ～ DC3
キーワード Keywords:
quantization, wave function, bound state, scattering problem, Green function, symmetry, quantum interference, many-body problem,
elementary excitation, quantum correlation
授業の目標 Objectives:
The aim of this course is to provide some fundamental knowledge and practical tools in quantum theory in order to explain various
interesting phenomena reflecting the nature of the electron as a wave, or not as a particle. Only a few assumptions on each problem
setup lead to a variety of quantum interference physics, for example, electronic states confined in low-dimensional systems, quantum
transport, optical transitions in atoms, molecules, and condensed matter systems, where all we have to do is purely mathematical
derivation. This course is given mainly for students majoring in theoretical condensed matter physics, while it is also useful for students
concerning experimental physics who are willing to acquire theoretical methods in order to obtain clear explanations on their own
results.
到達目標 Goals:
To understand the quantum nature of electrons in condensed matters and theoretically derive its physical properties by oneself.
授業計画 Outline:
1. Lagrange and Hamilton equations
2. Canonical quantization
3. Schrödinger equation
4. Bound state
5. Continuum state
6. Scattering problem
7. Path integral
8. Symmetry
9. Many-body state
10. Quantum correlation
準備学習（予習・復習）等の内容と分量 Homework:
3-hour review on the mathematical derivations in each class is required and homework to solve problems is assigned several times
during the course.
成績評価の基準と方法 Grading:
Final examination (50%) and assignments (50%)
テキスト・教科書 Textbooks:
No text covering all topics in this course. References for several topics are shown below:
Topics in advanced quantum mechanics: B. R. Holstein (Addison-Wesley 1992).
Advanced quantum mechanics: F. Schwable (4th Edition, Springer 2008).
Condensed matter field theory: A. Altland and B. Simons (Cambridge 2006).
講義指定図書 References:
参照ホームページ Website:
備考 Note: 受講条件 Pre-requisite:
Classical mechanics, elementary quantum mechanics, and applied mathematics including Fourier analysis, partial differential
equations, variational principle, and matrix theory.