授業の目的 【日本語】 Goals of the Course(JPN) | | |
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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. |
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到達目標 【日本語】 Objectives of the Course(JPN)) | | |
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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 |
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バックグラウンドとなる科目【日本語】 Prerequisite Subjects | | |
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バックグラウンドとなる科目【英語】 Prerequisite Subjects | | |
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授業の内容【日本語】 Course Content | | |
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授業の内容【英語】 Course Content | | |
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成績評価の方法と基準【日本語】 Course Evaluation Method and Criteria | | |
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成績評価の方法と基準【英語】 Course Evaluation Method and Criteria | | |
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履修条件・注意事項【日本語】 Course Prerequisites / Notes | | |
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履修条件・注意事項【英語】 Course Prerequisites / Notes | | |
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教科書【日本語】 Textbook | | |
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教科書【英語】 Textbook | | |
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参考書【日本語】 Reference Book | | |
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参考書【英語】 Reference Book | | |
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授業時間外学習の指示【日本語】 Self-directed Learning Outside Course Hours | | |
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授業時間外学習の指示【英語】 Self-directed Learning Outside Course Hours | | |
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使用言語【英語】 Language used | | |
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使用言語【日本語】 Language used | | |
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授業開講形態等【日本語】 Lecture format, etc. | | |
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授業開講形態等【英語】 Lecture format, etc. | | |
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遠隔授業(オンデマンド型)で行う場合の追加措置【日本語】 Additional measures for remote class (on-demand class) | | |
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遠隔授業(オンデマンド型)で行う場合の追加措置【英語】 Additional measures for remote class (on-demand class) | | |
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