学部・大学院区分理学部
時間割コード0680030
科目区分専門基礎科目
Basic Specialized Courses
科目名　【日本語】解析力学１
科目名　【英語】Analytical Mechanics I
コースナンバリングコード
担当教員　【日本語】重森　正樹 ○
担当教員　【英語】SHIGEMORI Masaki ○
単位数2
開講期・開講時間帯秋 水曜日 ２時限
Fall Wed 2
授業形態講義
Lecture
学科・専攻
G30 Physics
必修・選択


授業の目的　【日本語】
This is the first of two courses in analytical mechanics. Analytical mechanics abstracts from Newtonian mechanics and generalizes it to a versatile framework that can be applied to various areas of physics, such as quantum mechanics, statistical mechanics, and relativity. After a survey of elementary principles, we discuss the core concepts of Lagrangian and Hamiltonian mechanics, with special emphasis on symmetry principles, followed by some explicit examples.
授業の目的　【英語】
到達目標　【日本語】
A student who successfully completes this course will be able to:

- Understand the notions and procedures of the calculus of variations

- Write down the Lagrangian of a mechanical system in terms of generalized coordinates and describe its motion using the Euler-Lagrange equations

- Understand the relation between symmetries and conservation laws and write down the associated conserved quantities

- Describe the motion of mechanical systems using Hamiltonians

- Describe motion in central force problem using effective potential
到達目標　【英語】
授業の内容や構成
1. Survey of elementary principles
2. Variational principles and Lagrangian mechanics
3. Symmetries and conservation laws
4. Hamiltonian mechanics
5. Central force problem
履修条件
Calculus I & II, Fundamentals of Physics I &II, and concurrent registration of Mathematical Physics I & II
関連する科目
Analytical Mechanics II, Quantum Mechanics I
成績評価の方法と基準
Quizzes 10%, homework 30%, midterm 30%, final exam 30%
教科書・テキスト
H. Goldstein, C. Poole and J. Safko, "Classical Mechanics", Pearson; 3rd edition (2013), ISBN-10: 1292026553, ISBN-13: 978-1292026558
参考書
L. D. Landau and E. M. Lifschitz, "Mechanics: Volume 1 (Course of Theoretical Physics)", Butterworth-Heinemann; 3rd edition (1976), ISBN-10: 0750628960, ISBN-13: 978-0750628969.
L. N. Hand and J. D. Finch, "Analytical Mechanics", Cambridge University Press (1999), ISBN-10: 0521575729, ISBN-13: 978-0521575720.
課外学習等（授業時間外学習の指示）
注意事項
*See "Course List and Graduation Requirements" for your program for your enrollment year.
You are required to register for Physics Tutorial Ia (the tutorial for AM I) concurrently, unless you have passed the course.
他学科聴講の可否
他学科聴講の条件
レベル
キーワード
履修の際のアドバイス
授業開講形態等
遠隔授業（オンデマンド型）で行う場合の追加措置