Classical Relativistic Many-Body Dynamics

• 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.

'...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