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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.
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