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Mathematical Devices for Optical Sciences

Sibel Başkal, Young S Kim, Marilyn E Noz

Description

The Lorentz group, which is the underlying scientific language for modern optics, has most notably been used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and  quantum optics, making these difficult subjects more transparent to the reader. Written by three experts in the field, Sibel Başkal, Young S Kim and Marilyn E Noz, this book will provide the reader with a comprehensive overview of how fundamental issues in quantum mechanics can be approached using various optical instruments, Wigner functions and quantum entanglement.


About Editors

Sibel Başkal is a physics professor at the Middle East Technical University.

Young S Kim graduated from Princeton University in 1961 and has been a faculty member of the University of Maryland since 1962.

Marilyn E Noz is a professor emerita in the Department of Radiology at NYU School of Medicine.

Table of Contents

Chapter 1 - Forms of Quantum Mechanics

Chapter 2 - Lorentz Group and Its Representations

Chapter 3 - Internal Space-time Symmetries

Chapter 4 - Photons and Neutrinos in the Relativistic World of Maxwell and Wigner

Chapter 5 - Wigner Functions

Chapter 6 - Coherent States of Light

Chapter 7 - Squeezed States and Their Symmetries

Chapter 8 - Entanglement and Entropy

Chapter 9 - Ray Optics and Optical Activities

Chapter 10 - Polarization Optics

Chapter 11 - Stokes Parameters and Poincaré Sphere

Appendix – Covariant Harmonic Oscillators and the Quark-Parton Puzzle

Index


Bibliographic

Hardback ISBN: 9780750316125

Ebook ISBN: 9780750316149

DOI: 10.1088/2053-2563/aafe78

Publisher: Institute of Physics Publishing

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