Quantum Spin and Representations of the Poincaré Group, Part I

With a Focus on Physics and Operator Theory

Inbunden, Engelska, 2025

839 kr

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This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincaré group.

Produktinformation

Utgivningsdatum2025-06-03
Mått168 x 240 x 19 mm
Vikt590 g
FormatInbunden
SpråkEngelska
SerieSynthesis Lectures on Engineering, Science, and Technology
Antal sidor227
FörlagSpringer International Publishing AG
ISBN9783031841392

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Horst R. Beyer, Ph.D., is currently affiliated with the University of Tuebingen Institute for Astronomy and Astrophysics, Theoretical Astrophysics Division. Dr. Beyer has written 8 books and 39 published articles. His research interests include mathematical physics, in particular the applications of operator theory in quantum field theory, general relativity, astrophysics, and the engineering sciences.

Introduction.- Conventions.- Prerequisites.- Basic Properties of SO(2).- Basic Properties of SO(3).- Construction of a Double Cover of SO(3).- SU(2)-Spinors.- A Strongly Continuous Unitary Representation of SU(2).- Basic Properties of the Lorentz Group.- Unitary Representation of the Restricted Lorentz Group.- An Extension to a Strongly Continuous Representation of the Restricted Poincaré Group.- An Extension to a Unitary/Anti-unitary Representation of the Poincaré Group.-Appendix.- Bibliography.- Index of Symbols.- Index.