Physics of the Lorentz Group

Sibel Baskal 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. She also researches current problems in classical field theories such as sigma models, non-abelian gauge fields and general relativity, with a particular focus on alternative approaches. Young S Kim is Professor Emeritus in the Department of Physics, University of Maryland. His research interests have focused on elementary particle theory, the foundations of quantum mechanics, and the Lorentz group applicable to other areas of physics including quantum optics, condensed matter physics, and classical mechanics. Marilyn E Noz is a Research Professor and Professor Emerita in the Department of Radiology at the New York University School of Medicine. Her primary research focus is the integration of functional and anatomical (multi-modality) imaging into clinical practice. Image registration is used across multiple images, initially 2D, now 3D. Since 1971, her collaboration with Professor Kim in elementary particle physics has resulted in three books and more than 40 journal publications.

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