Relativistic Point Dynamics (eBook)

Henri Arzelies (Autor)

eBook Download: PDF

2016 | 1. Auflage
414 Seiten
Elsevier Science (Verlag)
9781483152264 (ISBN)

Infos

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.

Inhalt

Front Cover 1
Relativistic Point Dynamics 4
Copyright Page 5
Table of Contents 8
Dedication 6
PREFACE 10
NOTATION 38
PART ONE: The Dynamics of Particles with Constant Proper Mass 42
CHAPTER I. FUNDAMENTAL EQUATIONS 44
A. THE IMPULSE POSTULATE AND ITS CONSEQUENCES 44
B. THE KINETIC ENERGY THEOREM THE POSTULATE OF PROPER ENERGY
CHAPTER II. TRANSFORMATION OF THE MAIN QUANTITIES FOUR-VECTORS
A. THE TRANSFORMATION FORMULAE IN ORDINARY TERMS 72
B. THE MINKOWSKI FORMALISM 81
CHAPTER III. RELATIVISTIC DECOMPOSITION OF FORCE (HEAVISIDE, THOMSON, LORENTZ) 91
CHAPTER IV. FIELDS OF FORCE DERIVABLE FROM SCALAR POTENTIALS 107
A. THE MOTION OF A POINT IN A FIELD OF FORCE WHICH POSSESSES A SCALAR POTENTIAL THE ANALOGY WITH GEOMETRICAL OPTICS
B. THE WAVE-CORPUSCLE DUALITY ELEMENTARY CONSIDERATIONS
CHAPTER V. FIELDS OF FORCE DERIVABLE FROM A SCALAR POTENTIAL AND A VECTOR POTENTIAL 119
CHAPTER VI. VARIATIONAL METHODS: EQUATIONS OF MOTION 135
A. THE ARBITRARY FIELD OF FORCE 135
B. THE FIELD OF FORCE WITH POTENTIALS V AND A 143
CHAPTER VII. VAR1ATI0NAL METHODS: EQUATIONS FOR FIELDS 157
A. MAXWELL'S EQUATIONS 157
B. THE LAGRANGE AND HAMILTON EQUATIONS FOR A FIELD 163
CHAPTER VIII. TRANSFER OF THE EQUATIONS OBTAINED BY VARIATIONAL METHODS INTO THE MINKOWSKI CONTINUUM 169
CHAPTER IX. ANALYSIS OF THE CONCEPTS OF FORCE AND MASS 175
CHAPTER X. THE INTERACTION BETWEEN TWO ELECTRIC CHARGES. THE RELATIVISTIC RECONSTRUCTION OF ELECTROMAGNETISM 194
A. GENERAL REMARKS 194
B. THE FIRST METHOD, USING THE RESULTS OF CHAPTERS III AND V 198
C. THE SECOND METHOD, IN WHICH THE RESULTS OF CHAPTERS III AND V ARE NOT EMPLOYED 215
C. CONSEQUENCES FOR THE SYSTEMS OF UNITS: THE ARTIFICIAL AND OUTDATED NATURE OF THE GIORGI SYSTEM AND THE GAUSSIAN SYSTEM 231
PART TWO: THE DYNAMICS OF PARTICLES OF VARIABLE PROPER MASS 252
CHAPTER XI. RECONSIDERATION* OF THE EQUIVALENCE OF MASS AND ENERGY VARIOUS ASPECTS
CHAPTER XII. FUNDAMENTAL POSTULATES AND GENERAL THEOREMS 
263 
A. THE IMPULSE POSTULATE AND ITS FIRST CONSEQUENCES 263
B. TRANSFORMATION OF THE PRINCIPAL QUANTITIES 265
C. USE OF THE VECTORS E AND 268
CHAPTER XIII. THE ACTION THAT MODIFIES THE PROPER MASS DOES NOT AFFECT THE VELOCITY 
279 
A. GENERAL EQUATIONS 279
B. SOLIDS IN UNIFORM TRANSLATION, WITH OR WITHOUT ANY TENDENCY TO ROTATE COUPLES
C. APPLICATION TO THERMODYNAMICS 310
D. APPLICATION TO THE MECHANICS OF CONTINUOUS MEDIA 314
CHAPTER XIV. RELATIVISTIC ROCKETS 323
A. GENERAL EQUATIONS FUEL JET PROPELLED ROCKETS
B. RECTILINEAR TRAJECTORIES (FUEL JET PROPELLED ROCKETS) 328
C. PHOTON ROCKETS 336
PART THREE: Collision Theory 340
CHAPTER XV. ELASTIC COLLISIONS BETWEEN TWO CORPUSCLES 342
A. GENERAL REMARKS 342
B. TWO PARTICLES OF THE SAME MASS, ONE OF WHICH IS AT REST BEFORE THE COLLISION 345
C. TWO PARTICLES OF DIFFERENT MASSES, ONE OF WHICH IS STATIONARY BEFORE THE COLLISON 355
CHAPTER XVI. THE C0MPT0N EFFECT 365
CHAPTER XVII. INELASTIC COLLISIONS (NUCLEAR REACTIONS) 374
A. CLASSIFICATION OF THE PHENOMENA 374
B. QUANTITATIVE EXAMINATION OF VARIOUS CASES 378
C. PARTICLES AND ANTIPARTICLES 395
APPENDIX I: SUPPLEMENTARY MATERIAL 408
APPENDIX II: Quantum Definition of Mass and Force 411
APPENDIX III: Complementary References to § [172] 412
APPENDIX IV: Some Recent References on the Compton Effect (complementary to § [220]) 414
APPENDIX V: Errata to Relativistic Kinematics 414
APPENDIX VI: Complementary References to §§[40], [186] and [187] 415
A LIST OF WORKS BY THE AUTHOR 416
AUTHOR INDEX 418

Produkt-Details

• Erscheint lt. Verlag: 19.10.2016
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Technik
• ISBN-13: 9781483152264 / 9781483152264