* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download 北海道大学シラバス - 北海道大学工学部
Survey
Document related concepts
Relativistic quantum mechanics wikipedia , lookup
Natural computing wikipedia , lookup
Computational chemistry wikipedia , lookup
Post-quantum cryptography wikipedia , lookup
Quantum computing wikipedia , lookup
Quantum field theory wikipedia , lookup
Renormalization wikipedia , lookup
Theoretical computer science wikipedia , lookup
Path integral formulation wikipedia , lookup
Scalar field theory wikipedia , lookup
Quantum machine learning wikipedia , lookup
Quantum group wikipedia , lookup
Quantum key distribution wikipedia , lookup
Renormalization group wikipedia , lookup
Transcript
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.