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OverviewThis volume 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 generalized 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. This volume should 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. Full Product DetailsAuthor: M.A. Trump , W.C. SchievePublisher: Springer Imprint: Springer Edition: 1999 ed. Volume: 103 Dimensions: Width: 15.50cm , Height: 2.20cm , Length: 23.50cm Weight: 1.590kg ISBN: 9780792357377ISBN 10: 079235737 Pages: 370 Publication Date: 31 July 1999 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 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.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 `...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 `...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 '...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 `...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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |