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Classical Mechanics

H. C. Rosu

Abstract

This is the English version of a friendly graduate course on Classical Mechanics, containing about 80% of the material I covered during the January-June 1999 semester at IFUG in the Mexican city of Leon. For the Spanish version, see physics/9906066

Classical Mechanics

Abstract

This is the English version of a friendly graduate course on Classical Mechanics, containing about 80% of the material I covered during the January-June 1999 semester at IFUG in the Mexican city of Leon. For the Spanish version, see physics/9906066

Paper Structure

This paper contains 26 sections, 689 equations.

Table of Contents

  1. 4.1 THE SIMPLE HARMONIC OSCILLATOR
  2. 4.2 FORCED HARMONIC OSCILLATOR
  3. 4.3 DAMPED HARMONIC OSCILLATOR
  4. 4.4 NORMAL MODES
  5. 4.5 PARAMETRIC RESONANCE
  6. 5.1 Definitions, Hamiltonians and Kamiltonians
  7. 5.2 Necessary and sufficient conditions for a transformation to be canonical
  8. 5.3 Example of application of TC
  9. 7.1 Introduction
  10. 7.2 Time-dependent HJ equations.
  11. 7.3 Time-independent HJ equations
  12. 7.4 Generalization of the HJ equations
  13. 7.5 Example of application of the HJ equations
  14. 8.1 Separable systems
  15. 8.2 Cyclic systems
  16. ...and 7 more sections