Classical Relativistic Many-Body Dynamics

AvM.A. Trump,W.C. Schieve

Häftad, Engelska, 2011

Del 103 i serien Fundamental Theories of Physics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-10-13
Mått:170 x 244 x 21 mm
Vikt:668 g
Format:Häftad
Språk:Engelska
Serie:Fundamental Theories of Physics
Antal sidor:370
Förlag:Springer
ISBN:9789048152322

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Recensioner i media

'...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

Innehållsförteckning

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.