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Classical Relativistic Many-Body Dynamics : Fundamental Theories of Physics - M. A. Trump

Classical Relativistic Many-Body Dynamics

Fundamental Theories of Physics

Hardcover

Published: 31st July 1999
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in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid­ ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co­ variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

`...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

Preface and Acknowledgments.
Introduction
Frame-Dependent Kinematics.
Covariant Kinematics.
The Dynamical Theory.
The Lagrangian-Hamiltonian Theory.
The Coulomb Potential (I).
The Coulomb Potential (II).
Conclusions and Suggestions
The Geometry of World Lines
The Solutions Derived by Cook
The No Interaction Theorem
Classical Pair Annihilation
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792357377
ISBN-10: 079235737X
Series: Fundamental Theories of Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 370
Published: 31st July 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.59