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# 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 pile-up 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):

1. Dynamical motion under central force: Equations of motion, effective potential, binding motion, and scattering problem.
2. Motion of rigid bodies: tensor moment of inertia and equations of motion for rigid bodies.
3. 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

1. Mechanics (3rd Edition, Butterworth-Heinemann): Volume 1 (Course of Theoretical Physics), by L. D. Landau and E.M. Lifshitz
2. The Classical Theory of Fields (4th Edition, Butterworth-Heinemann): 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.