Quantum mechanics

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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. ContentsQuantum logicPoincaré groupQuantum mechanics and relativityObservablesElementary particlesInteractionScatteringDelta functionGroups and vector spacesGroup of rotationsLie groups and Lie algebrasHilbert spaceOperatorsSubspaces and projectionsRepresentations of groups and algebrasPseudo-orthogonal representation of Lorentz group