The Wigner Function in Science and Technology

Abstract:
This book is designed to give a background on the origins and development of Wigner functions, as well as its mathematical underpinnings. Along the way the authors emphasise the connections, and differences, from the more popular non-equilibrium Green's function approaches. But, the importance of the text lies in the discussions of the applications of the Wigner function in various fields of science, including quantum information, coherent optics, and superconducting qubits. These disciplines approach it differently, and the goal here is to give a unified background and highlight how it is utilized in the different disciplines.

Table of Contents:

• Introduction
• Approaches to quantum transport
• Wigner functions
• Effective potentials
• Numerical solutions
• Particle methods
• Collisions and the Wigner function
• Entanglement
• Quantum chemistry
• Signal processing
• Quantum optics
• Quantum physics