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Graduate School
Classical Mechanics II
Shin'ichi NOJIRI Professor
Department: School of Science / Graduate School of Science
Class Time:  2011 Fall Friday 
Recommended for:  Physics department sophomores 
Course Overview
Course Aims
The aim in the first half of this course is to study the motions of basic dynamical systems in physics, using the Lagrangian or Hamiltonian formalism learned in ‘Classical Mechanics I’. In the latter half of the course, special relativity will also be studied.
Key Features
The first half of this course will cover the motions of basic dynamical systems in physics, using the Lagrangian or Hamiltonian formalism learned in ‘Classical Mechanics I’. In the latter half of the course, special relativity will also be studied.
Physics consists of a few laws, using mathematics as a language, and the pileup of logic. This course explains how concrete phenomena in physics can be generated by basic laws, whenever possible not omitting the development of logic, and by deriving equations by clear use of the blackboard. The concepts that describe motion, the reasons why we consider these concepts, and why such concepts are useful, are also taught thoroughly. The course will also aim to develop the students' ability to think, which is necessary in order to study physics.
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Syllabus
Course Contents
The contents of the course are as follows (though lectures on “Special Relativity” will comprise half of the total lectures):
 Dynamical motion under central force: Equations of motion, effective potential, binding motion, and scattering problem.
 Motion of rigid bodies: tensor moment of inertia and equations of motion for rigid bodies.
 Special Relativity: Principle of Special Relativity, the Lorentz transformation of coordinates, and relativistic classical mechanics: four vectors of energy and momentum, relativistic Lagrangian and Hamiltonian.
Goals
The goal is to understand phenomena in physics based on the formalism of classical mechanics, and to understand the theory of Special Relativity.
Textbooks
Classical Mechanics (3rd Edition, Addison Wesley), by Herbert Goldstein, Charles P. Poole, John L. Safko
Reference Books
 Mechanics (3rd Edition, ButterworthHeinemann): Volume 1 (Course of Theoretical Physics), by L. D. Landau and E.M. Lifshitz
 The Classical Theory of Fields (4th Edition, ButterworthHeinemann): Volume 2 (Course of Theoretical Physics Series), by L.D. Landau and E.M. Lifshitz
Grading
Students will be graded on the written examination at the end of the semester.
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Class Materials
Lecture Handouts
Note: The file is in Japanese.
Classical Mechanics II Lecture Note (PDF, 205KB)
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Page last updated February 7, 2011
The class contents were most recently updated on the date indicated. Please be aware that there may be some changes between the most recent year and the current page.