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Physics of the Lorentz Group

Sibel Başkal, Young S Kim, Marilyn E Noz


This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.

About Editors

Sibel Başkal is a Professor of Physics at the Middle East Technical University in Ankara, Turkey, where she researches manifestations of Poincaré, Lorentz, and Wigner's little groups and of group contractions in optical sciences.

Young S Kim is Professor Emeritus in the Department of Physics, University of Maryland.

Marilyn E Noz is a Research Professor and Professor Emerita in the Department of Radiology at the New York University School of Medicine.

Table of Contents

Table of Contents: Lorentz group and its representations / Wigner's little groups for internal space-time symmetries / Two-by-two representations of Wigner's little groups / One little group with three branches / Lorentz-covariant harmonic oscillators / Quarks and protons in the Lorentz-covariant world / Coupled oscillators and squeezed states of light / Lorentz group in ray optics / Polarization optics / Poincaré sphere


Paperback ISBN: 9780750328012

Ebook ISBN: 9781681740621

DOI: 10.1088/978-1-6817-4254-0

Publisher: Morgan & Claypool Publishers


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