Classical Relativistic Many-Body Dynamics by M.A. TrumpClassical Relativistic Many-Body Dynamics by M.A. Trump

Classical Relativistic Many-Body Dynamics

byM.A. Trump, W.C. Schieve

Paperback | October 13, 2011

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This book examines in detail the classical theory of relativistic many-body dynamics using a world time for self-consistency, completeness, and possible critical experiment. The theory, originally by Stueckelberg, and generalised to the many-body system by Horwitz and Piron, allows solutions for the special relativistic system with long-range interaction in a manifestly covariant Lagrangian and Hamiltonian fashion. The covariant Kepler problem is considered in particular. Audience: This volume will be of interest to researchers whose work involves relativity and gravitation, electromagnetic theory, theoretical astrophysics, classical mechanics or space dynamics. It is also recommended as a text for an advanced-level graduate physics course in classical mechanics.
Title:Classical Relativistic Many-Body DynamicsFormat:PaperbackDimensions:383 pages, 9.61 × 6.69 × 0.07 inPublished:October 13, 2011Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048152321

ISBN - 13:9789048152322

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Table of Contents

Preface and Acknowledgments. 1. Introduction. 2. Frame-Dependent Kinematics. 3. Covariant Kinematics. 4. The Dynamical Theory. 5. The Lagrangian-Hamiltonian Theory. 6. The Coulomb Potential (I). 7. The Coulomb Potential (II). 8. Conclusions and Suggestions. A: The Geometry of World Lines. B: The Solutions Derived by Cook. C: The No Interaction Theorem. D: Classical Pair Annihilation. Bibliography. Index.

Editorial Reviews

`...this book offers a very nice and fairly self-contained introduction to the subject of classical relativistic dynamics, which will certainly be of interest to graduate students in physics, and to all scientists whose research involves aspects of special relativity theory.' Mathematical Reviews 2002e