学部・大学院区分
Undergraduate / Graduate		農学部
時間割コード
Registration Code		0910808
科目区分
Course Category		専門基礎科目
Basic Specialized Courses
科目名　【日本語】
Course Title		解析力学１
科目名　【英語】
Course Title		Analytical Mechanics I
コースナンバリングコード
Course Numbering Code
担当教員　【日本語】
Instructor		重森 正樹 ○
担当教員　【英語】
Instructor		SHIGEMORI Masaki ○
単位数
Credits		2
開講期・開講時間帯
Term / Day / Period		秋 木曜日 ５時限
Fall Thu 5
対象学年
Year		２年
2
授業形態
Course style		講義
Lecture


授業の目的　【日本語】
Goals of the Course(JPN)
授業の目的　【英語】
Goals of the Course
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.
到達目標　【日本語】
Objectives of the Course(JPN)
到達目標【英語】
Objectives of the Course
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
授業の内容や構成
Course Content / Plan
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・関連する科目
Course Prerequisites and Related Courses
Calculus I & II, Fundamentals of Physics I &II, and concurrent registration of Mathematical Physics I & II
成績評価の方法と基準
Course Evaluation Method and Criteria
Quizzes 10%, homework 30%, midterm 30%, final exam 30%
教科書・テキスト
Textbook
H. Goldstein, C. Poole and J. Safko, "Classical Mechanics", Pearson; 3rd edition (2013), ISBN-10: 1292026553, ISBN-13: 978-1292026558
参考書
Reference Book
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）
Study Load(Self-directed Learning Outside Course Hours)
Biweekly assignments
使用言語
Language Used in the Course
授業開講形態等
Lecture format, etc.
Face to face
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)