Analytical Mechanics for Relativity and Quantum Mechanics

by Johns, Oliver

ISBN13:
9780191775161
ISBN10:
0191775169
Edition: 2nd
Format: eBook
Copyright: 2013-12-19
Publisher: Oxford University Press
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Author Biography

Oliver Johns, Emeritus Professor, Department of Physics, San Francisco State University

Oliver Davis Johns is Professor of Physics Emeritus at San Francisco State University.

I: INTRODUCTION: THE TRADITIONAL THEORY
1. Basic Dynamics of Point Particles and Collections
2. Introduction to Lagrangian Mechanics
3. Lagrangian Theory of Constraints
4. Introduction to Hamiltonian Mechanics
5. The Calculus of Variations
6. Hamilton's Principle
7. Linear Operators and Dyadics
8. Kinematics of Rotation
9. Rotational Dynamics
10. Small Vibrations About Equilibrium
11. Two-body Central Force Systems
12. Introduction to Scattering
II:MECHANICS WITH TIME AS A COORDINATE
13. Lagrangian Mechanics with Time as a Coordinate
14. Hamiltonian Mechanics with Time as a Coordinate
15. Hamilton's Principle and Noether's Theorem
16. Relativity and Spacetime
17. Fourvectors and Operators
18. Relativistic Mechanics
19. Canonical Transformations
20. Generating Functions
21. Hamilton-Jacobi Theory
III: MATHEMATICAL APPENDICES
A. Vector Fundamentals
B. Matrices and Determinants
C. Eigenvalue Problem with General Metric
D. The Calculus of Many Variables
E. Geometry of Phase Space

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