Classical Relativistic Many-Body Dynamics [E-Book] / by M. A. Trump, W. C. Schieve.
Trump, M. A., (author)
Schieve, W. C., (author)
Dordrecht : Springer, 1999
XVI, 370 p. online resource.
englisch
9789401593038
10.1007/978-94-015-9303-8
Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ; 103
Full Text
Table of Contents:
  • 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.