Classical Dynamics and Its Quantum Analogues

David Park (auth.)3540095659, 9783540095651

The primary purpose of this textbook is to introduce students to the principles of classical dynamics of particles, rigid bodies, and continuous systems while showing their relevance to subjects of contemporary interest. Two of these subjects are quantum mechanics and general relativity. The book shows in many examples the relations between quantum and classical mechanics and uses classical methods to derive most of the observational tests of general relativity. A third area of current interest is in nonlinear systems, and there are discussions of instability and of the geometrical methods used to study chaotic behaviour. In the belief that it is most important at this stage of a student’s education to develop clear conceptual understanding, the mathematics is for the most part kept rather simple and traditional. In the belief that a good education in physics involves learning the history of the subject, this book devotes some space to important transitions in dynamics: the development of analytical methods in the 18th century and the invention of quantum mechanics.

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Table of contents :
Rays of light….Pages 1-37
Orbits of particles….Pages 38-88
N-particle systems….Pages 89-110
Hamiltonian dynamics….Pages 111-150
The Hamilton-Jacobi theory….Pages 151-191
Action and phase….Pages 192-228
Theory of perturbations….Pages 229-256
The motion of a rigid body….Pages 257-301
Continuous systems….Pages 302-335