Relativistic Point Dynamics - 1st Edition - ISBN: 9780080158426, 9781483152264

Relativistic Point Dynamics

1st Edition

Authors: Henri Arzeliès
eBook ISBN: 9781483152264
Imprint: Pergamon
Published Date: 1st January 1971
Page Count: 414
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Relativistic Point Dynamics focuses on the principles of relativistic dynamics. The book first discusses fundamental equations. The impulse postulate and its consequences and the kinetic energy theorem are then explained. The text also touches on the transformation of main quantities and relativistic decomposition of force, and then discusses fields of force derivable from scalar potentials; fields of force derivable from a scalar potential and a vector potential; and equations of motion. Other concerns include equations for fields; transfer of the equations obtained by variational methods into the Minkowski continuum; and analysis of the concepts for force and mass. The text also describes the interaction between two electric charges. The selection also discusses the reconsideration of the equivalence of mass and energy; fundamental postulates and general theorem; and relativistic rockets. The text also focuses on elastic collisions between two corpuscles, inelastic collisions, and the Compton effect. The book is a vital source of data for readers wanting to explore relativistic dynamics.

Table of Contents



Preliminary Remarks on the Importance of Epistemological, Historical and Bibliographical Studies

Physics and Philosophy

The Point of View Adopted; Advice to the Reader on how best to use the Book


Part one the Dynamics of Particles with Constant Proper Mass

I. Fundamental Equations

II. Transformation of the Main Quantities; Four-vectors

III. Relativistic Decomposition of Force

IV. Fields of Force Derivable from Scalar Potentials

V. Fields of Force Derivable from a Scalar Potential and a Vector Potential

VI. Variational Methods: Equations of Motion

VII. Variational Methods: Equations for Fields

VIII. Transfer of the Equations Obtained by Variational Methods into the Minkowski Continuum

IX. Analysis of the Concepts of Force and Mass

X. The Interaction Between Two Electric Charges. The Relativistic Reconstruction of Electromagnetism

Part two the Dynamics of Particles of Variable Proper Mass

XL Reconsideration of the Equivalence of Mass and Energy; Various Aspects

XII. Fundamental Postulates and General Theorems

XIII. The Action that Modifies the Proper Mass does not Affect the Velocity

XIV. Relativistic Rockets

Part Three Collision Theory

XV. Elastic Collisions Between Two Corpuscles

XVI. The Compton Effect

XVII. Inelastic Collisions (Nuclear Reactions)

Appendix I Supplementary Material

Appendix II Quantum Definition of Mass and Force

Appendix III Complementary References to § [172]

Appendix IV Complementary References to § [220]

Appendix V Errata to Relativistic Kinematics

Appendix VI Complementary references to §§ [40], [186] and [187]

Author Index


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About the Author

Henri Arzeliès

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