学部・大学院区分
Undergraduate / Graduate | | 理学部 | | 時間割コード
Registration Code | | 0680320 | | 科目区分
Course Category | | 専門科目
Specialized Courses | | 科目名 【日本語】
Course Title | | 物理学演習３ | | 科目名 【英語】
Course Title | | Physics Tutorial III | | コースナンバリングコード
Course Numbering Code | | | | 担当教員 【日本語】
Instructor | | 山影 相 ○
洗平 昌晃 | | 担当教員 【英語】
Instructor | | YAMAKAGE Ai ○
ARAIDAI Masaaki | | 単位数
Credits | | 2 | | 開講期・開講時間帯
Term / Day / Period | | 秋 木曜日 ３時限
秋 木曜日 ４時限
Fall Thu 3
Fall Thu 4 | | 授業形態
Course style | | 演習
Lecture | | 学科・専攻
Department / Program | | | | 必修・選択
Compulsory / Selected | | | See "Course List and Graduation Requirements" for your program for your enrollment year. |
| |
授業の目的 【日本語】
Goals of the Course(JPN) | | | | 授業の目的 【英語】
Goals of the Course | | To master various concepts introduced in Statistical Physics II and Quantum Mechanics II lecture courses by solving a number of problems relating to the lecture course content.
Participants can acquire the ability to solve the questions in the graduate school entrance examination. |
| | 到達目標 【日本語】
Objectives of the Course(JPN)) | | | | 到達目標 【英語】
Objectives of the Course | | | Students will be able to clearly explain: the structure and design method of thermodynamics, classical statistical physics, and statistics of identical particles: the fundamentals of quantum mechanics, a harmonic oscillator, and fermions and bosons. |
| | 授業の内容や構成
Course Content / Plan | | This is a companion course for the Quantum Mechanics and Statistical Physics II lecture courses.
Participants are expected to solve problems relating to the lecture course content in the following order:
Statistical Physics II:
(1) The fundamental relation, Geometric relations of partial derivatives, Third law of thermodynamics.
(2) Mathematical structure of thermodynamics, Fundamental relation, equation of state, Mixing of distinguishable and indistinguishable particles.
(3) Maximum work theorem, the Legendre transformed representations, and the extremum principle.
(4) Maxwell's relations, Statistical mechanics of isolated systems, High dimensionality effects, Central limit theorem.
(5) Entropy of the classical ideal gas using the microcanonical ensemble, Applications of the binomial distribution, and Poisson distribution.
(6) Canonical partition function, Statistical mechanics of small systems, Entropy, and disorder.
(7) Canonical partition function and error in classical counting, Classical limit, Classical equipartition theorem.
Quantum Mechanics II:
(1) Symmetry properties of Newton's 2nd law, Meaning and examples of "Fictitious force," and Introduction to Poisson Brackets.
(2) Hamiltonian mechanics, Symmetry and conservation law, Canonical transformations, and the Revision of basic linear algebra.
(3) Mathematical tools of quantum mechanics
(4) Applications of the postulates of quantum mechanics to simple problems
(5) Simple harmonic oscillator. Issues with quantization.
(6) The space-time propagator revisited, The Uncertainty principle, and The density operator
(7) Identical particles, Tensor product spaces, and Entanglement
Participants are also expected to present their solutions on the whiteboard during the tutorial. Students will also submit tutorial assignments, which are set by the Quantum Mechanics II & Statistical Physics II lecturer. |
| | 履修条件
Course Prerequisites | | | Calculus I; Calculus II; or Consent of Instructor |
| | 関連する科目
Related Courses | | | Quantum Mechanics II and Statistical Physics II |
| | 成績評価の方法と基準
Course Evaluation Method and Criteria | | Evaluated by total score: weekly assignments, attendance, class participation, and weekly oral presentation of solutions. (Weighting to be advised.)
A score more than 60/100 is qualified. |
| | 不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades | | | If the score is less than 60, the grade will be F. |
| | 参考書
Reference Book | | Statistical Physics II:
(1) Hill, T., An Introduction to Statistical Thermodynamics, Dover, 1986. (Excellent introduction to Statistical Mechanics at Year 3 level. Alternative textbook. Highly recommended. Cheap to buy.)
(2) Kittel, C., Elementary Statistical Physics, Dover, 2004. (Highly recommended. Cheap to buy.)
(3) Kubo R., Statistical Mechanics, North Holland, 1965. (More of a second course on Stat Mech, but contains many examples and worked solutions.)
(4) Huang, K., Statistical Mechanics, Wiley. (Advanced reference.)
(5) Kittel, C. and Kroemer, H., Thermal Physics, W.H. Freeman. (Try as alternative.) (6) Landau, L.D. and Lifshitz, E.M., Statistical Physics, Part I, by E.M. Lifshitz and L.P. Pitaevskii, Pergamon Press. (A classic book: thorough, advanced treatment.)
Quantum Mechanics II:
E. Merzbacher, Quantum Mechanics, John Wiley & Sons, 1997, |
| | 教科書・テキスト
Textbook | | Statistical Physics II:
(1) Callen, Herbert, Thermodynamics and an Introduction to Thermostatistics, 2nd Ed., Wiley. (2) Reif, F.,
Fundamentals of Statistical and Thermal Physics, McGraw-Hill, 1965.
Quantum Mechanics II:
(1) R. Shankar, Principles of Quantum Mechanics, Springer, 1994.
(2) L. Susskind and A. Friedman, Quantum Mechanics: The Theoretical Minimum, Basic Books, 2015. |
| | 課外学習等（授業時間外学習の指示）
Study Load(Self-directed Learning Outside Course Hours) | | | Students should solve the questions and prepare the presentation before the tutorial. After the tutorial, they will submit the tutorial assignments. |
| | 注意事項
Notice for Students | | | | 他学科聴講の可否
Propriety of Other department student's attendance | | | | 他学科聴講の条件
Conditions for Other department student's attendance | | | | レベル
Level | | | | キーワード
Keyword | | | | 履修の際のアドバイス
Advice | | | | 授業開講形態等
Lecture format, etc. | | | Onsite, online, or their hybrid |
| | 遠隔授業（オンデマンド型）で行う場合の追加措置
Additional measures for remote class (on-demand class) | | | |
|