Synopses & Reviews
Synopsis
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Synopsis
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 Poincar 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.
Contents
Quantum logic
Poincar group
Quantum mechanics and relativity
Observables
Elementary particles
Interaction
Scattering
Delta function
Groups and vector spaces
Group of rotations
Lie groups and Lie algebras
Hilbert space
Operators
Subspaces and projections
Representations of groups and algebras
Pseudo-orthogonal representation of Lorentz group