科目名

Course Title

解析力学1(Analytical Mechanics I)
学科・専攻

Department/Program

G30 Physics

受講年次Grade

授業形態

2ndClass style

必修・選択の別講義

Compulsory or Elective* See "Remarks"

時間割コードRegistration code

開講期・曜日・時限

0680030

Semester,Day & Period

単位数

Fall semester Wed：2
Credit

科目区分

Course type2
担当教員

Instructor

所属研究室
連絡先

重森正樹(SHIGEMORI Masaki)

Laboratory

居室

Contact
Room

講義の目的とねらい

Course purpose

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 quantummechanics, statistical mechanics, and relativity. After a survey of elementary principles, we discuss the core conceptsof Lagrangian and Hamiltonian mechanics, with special emphasis on symmetry principles, followed by some explicit
examples.
履修要件

Prerequisite

Calculus I & II, Fundamentals of Physics I &II, and concurrent registration of Mathematical Physics I & II
履修取り下げの方法について

How to Apply for Course Withdrawal<「履修取り下げ届」提出の要・不要 Necessity/Unnecessity to submit "Course Withdrawal Request Form">
Necessary<条件等 Conditions>
You may withdraw from the course following the standard procedure of the School of Science.
成績評価

GradingQuizzes 10%, homework 30%, midterm 30%, final exam 30%
不可（F）と欠席（W）の基準

Criteria for "Absent(W)" &"Fail" grades

The Absent grade is reserved for students who withdraw by the deadline. After that day, a letter grade will begiven based on the assessment during the semester.
関連する科目

Related courses

Analytical Mechanics II, Quantum Mechanics I教室Class room

Check the Course Timetable.
Check the course timetable.
If the course is given online, join and check the NUCT website for Analytical Mechanics (AM1) for announcements.

到達目標

Goal

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

授業内容

Content

1. Survey of elementary principles
2. Variational principles and Lagrangian mechanics
3. Symmetries and conservation laws
4. Hamiltonian mechanics
5. Central force problem

教科書

Textbook

H. Goldstein, C. Poole and J. Safko, "Classical Mechanics", Pearson; 3rd edition (2013), ISBN-10: 1292026553,
ISBN-13: 978-1292026558
参考書

Recommended reading

L. D. Landau and E. M. Lifschitz, "Mechanics: Volume 1 (Course of Theoretical Physics)", Butterworth-Heinemann; 3rdedition (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.
連絡方法

Contact method

Join and check the NUCT website for Analytical Mechanics (AM1) for announcements.
その他

Remarks*See Course List and Graduation Requirements for your program for your enrollment year.
*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 thecourse.

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