TY  - BOOK
AU  - Ferry,David K.
AU  - Nedjalkov,Mihail
ED  - Institute of Physics, IOP - EBA (Great Britain),
TI  - The Wigner function in science and technology
T2  - [IOP release 5]
SN  - 9780750316712
AV  - QC174.85.P48 F478 2018eb
U1  - 530.13 23
PY  - 2018///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Wigner distribution
KW  - Mathematical physics
KW  - Phase space (Statistical physics)
KW  - Quantum theory
KW  - Mathematical models
KW  - Quantum physics (quantum mechanics & quantum field theory)
KW  - bicssc
KW  - SCIENCE / Physics / Quantum Theory
KW  - bisacsh
N1  - "Version: 20181101"--Title page verso; Includes bibliographical references; 1. Introduction -- 1.1. Classical mechanics -- 1.2. Rise of quantum mechanics -- 1.3. Eugene Wigner -- 1.4. Modern devices and simulation -- 1.5. Our approach; 2. Approaches to quantum transport -- 2.1. Modes and the Landauer formula -- 2.2. The scattering matrix approach -- 2.3. The density matrix -- 2.4. Green's functions -- 2.5. What are the relative advantages?; 3. Wigner functions -- 3.1. Preliminary considerations -- 3.2. The equations of motion -- 3.3. Generalizing the Wigner function -- 3.4. Other phase space approaches -- 3.5. Wigner-Weyl transforms -- 3.6. The hydrodynamic equations; 4. Effective potentials -- 4.1. Size of the electron -- 4.2. The Bohm potential -- 4.3. Bohm and the two-slit experiment -- 4.4. The Wigner potential -- 4.5. Feynman and effective potentials; 5. Numerical solutions -- 5.1. The initial state -- 5.2. Numerical techniques -- 5.3. The resonant tunneling diode : Wigner function simulations -- 5.4. Other devices; 6. Particle methods -- 6.1. The classical Monte Carlo technique -- 6.2. Paths in quantum mechanics -- 6.3. Using particles with the Wigner function; 7. Collisions and the Wigner function -- 7.1. The interaction representation -- 7.2. The electron-phonon interaction -- 7.3. The Wigner scattering integrals -- 7.4. Collisions in the Monte Carlo approach; 8. Entanglement -- 8.1. An illustration of entanglement -- 8.2. Entanglement in harmonic oscillators -- 8.3. Measures of entanglement -- 8.4. Some illustrative examples; 9. Quantum chemistry -- 9.1. Quantum statistics -- 9.2. Reactions and rates -- 9.3. Tunneling -- 9.4. Spectroscopy; 10. Signal processing -- 10.1. Signal propagation -- 10.2. Wavelets; 11. Quantum optics -- 11.1. Propagation -- 11.2. The Jaynes-Cummings model -- 11.3. Squeezed states -- 11.4. Coherence I -- 11.5. Coherence II -- 11.6. Bell states; 12. Quantum physics -- 12.1. The harmonic oscillator -- 12.2. Quantum physics -- 12.3. Superconductivity -- 12.4. Plasmas -- 12.5. Relativistic systems -- 12.6. Quantum cascade laser; Graduate students and researchers in STEM fields working with quantum phenomena and open quantum systems; Also available in print
N2  - 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
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ER  -