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Classical Relativistic Many-Body Dynamics

Author: M A Trump; W C Schieve
Publisher: Dordrecht : Springer Netherlands, 1999.
Series: Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application, 103.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M A Trump; W C Schieve
ISBN: 9789401593038 9401593035
OCLC Number: 851380113
Description: 1 online resource (xv, 368 pages).
Contents: 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 --
A.1 The Geometry of 1-d Curves --
A.1.3 Applications to Nonrelativistic Motion --
A.1.4 Applications to Relativistic Motion --
A.2 Spacetime Curves --
A.2.1 Special Relativistic Kinematics --
A.2.2 World Lines as Regular Curves --
A.2.3 The Unit Binormal Four-Vector --
A.2.4 The Unit Trinormal and Orthonormal Tetrad --
A.3 The Covariant Serret-Frenet Equations --
A.4 The Active Lorentz Transformation --
A.4.1 The Fermi-Walker Operator --
A.4.2 The General Co-Moving Frame --
A.5 Conclusions --
B The Solutions Derived by Cook --
C The No Interaction Theorem --
C.1 Comments on the Proof --
D Classical Pair Annihilation.
Series Title: Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application, 103.
Responsibility: by M.A. Trump, W.C. Schieve.

Abstract:

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  Read more...

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`...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 Read more...

 
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