Relativistic Mechanics
Richard Talman · Geometric Mechanics · 2007
This chapter contains sections titled: Relativistic Kinematics Form Invariance World Points and Intervals Proper Time The Lorentz Transformation Transformation of Velocities 4-Vectors and Tensors Three-Index Antisymmetric Tensor Antisymmetric 4-Tensors The 4-Gradient, 4-Velocity, and 4-Acceleration Relativistic Mechanics The Relativistic Principle of Least Action Energy and Momentum 4-Vector Notation Forced Motion Hamilton–Jacobi Formulation Introduction of Electromagnetic Forces into Relativistic Mechanics Generalization of the Action Derivation of the Lorentz Force Law Gauge Invariance Bibliography