This book introduces notation, terminology, and basic ideas of relativistic quantum theories. The discussion proceeds systematically from the principle of relativity and postulates of quantum logics to the construction of Poincaré invariant few-particle models of interaction and scattering. It is the first of three volumes formulating a consistent relativistic quantum theory of interacting charged particles.
Quantum mechanics and relativity
Groups and vector spaces
Group of rotations
Lie groups and Lie algebras
Subspaces and projections
Representations of groups and algebras
Pseudo-orthogonal representation of Lorentz group