Relativistic Point Dynamics

Relativistic Point Dynamics

1st Edition - January 1, 1971

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  • Author: Henri Arzeliès
  • eBook ISBN: 9781483152264

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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

  • 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

Product details

  • No. of pages: 414
  • Language: English
  • Copyright: © Pergamon 1971
  • Published: January 1, 1971
  • Imprint: Pergamon
  • eBook ISBN: 9781483152264

About the Author

Henri Arzeliès

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