(Ebook) Elementary Particle Theory. Volume 1: Quantum Mechanics by Eugene Stefanovich ISBN 9783110490886, 9783110491036, 9783110492132, 3110490889, 3110491036, 311049213X, B09C4L3MDM

(Ebook) Elementary Particle Theory. Volume 1: Quantum Mechanics by Eugene Stefanovich ISBN 9783110490886, 9783110491036, 9783110492132, 3110490889, 3110491036, 311049213X, B09C4L3MDM

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.Mathematics Subject Classification 2010Primary: Quantum Theory. Research exposition (monographs, survey articles) pertaining to quantum theory 81-02 • Quantum Theory. Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) 81P10 • Topological groups, Lie groups. Structure and representation of the Lorentz group 22E43Secondary: Operator Theory. Scattering theory of linear operators 47A40 • Quantum Theory. Electromagnetic interaction; quantum electrodynamics 81V10This 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.Contents • Quantum logic • Poincaré 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