This book is designed to give a background to 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 key importance lies in inclusion of applications of the Wigner function to 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 Content
1. Introduction 2. Approaches to quantum transport 3. Wigner functions 4. Effective potentials 5. Numerical solutions 6. Particle approaches 7. Collisions and the Wigner function 8. Entanglement 9. Quantum chemistry 10. Semi-classical communications 11. Quantum optics 12. Quantum physics
About the author
Mihail (Mixi) Nedjalkov received his Doctoral (Ph.D.) degree in Physics in 1990 and his Doctor of Science (D.Sc.) degree in Mathematics in 2011 at the Bulgarian Academy of Sciences (BAS). He is Associate Professor with the Institute of Information and Communication Technologies, BAS. He held visiting research positions at the University of Modena (1994), Arizona State University (2004) and mainly at the Institute for Microelectronics, TU-Wien (1998-date), supported by national and European projects. He has served as a lecturer at the 2004 International School of Physics ‘Enrico Fermi’, Varenna, Italy. His research interests include physics and modeling of classical and quantum carrier transport in semiconductor materials, devices and nanostructures, collective phenomena, theory and application of Monte Carlo methods.
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