学部・大学院区分
Undergraduate / Graduate
理学部
時間割コード
Registration Code
0680030
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 水曜日 2時限
Fall Wed 2
授業形態
Course style
講義
Lecture
学科・専攻
Department / Program
G30 Physics
必修・選択
Compulsory / Selected
See the “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
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
Course Prerequisites
Calculus I & II, Fundamentals of Physics I &II, and concurrent registration of Mathematical Physics I & II
関連する科目
Related Courses
Analytical Mechanics II, Quantum Mechanics I
成績評価の方法と基準
Course Evaluation Method and Criteria
Attendance/Quizzes 10%, homework 30%, midterm 30%, final exam 30%
不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades
The “Absent” grade is reserved for students who withdraw by the deadline. After that day, a letter grade will be given based on the assessment during the semester.
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
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.
Hybrid or online only (will use Zoom or Teams)
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)
Please keep Zoom and Teams upgraded to the latest version.