The Wigner function in science and technology / David K. Ferry, Mihail Nedjalkov.Material type: TextSeries: IOP (Series). Release 5. | IOP expanding physicsPublisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750316712; 9780750316705Subject(s): Wigner distribution | Mathematical physics | Phase space (Statistical physics) | Quantum theory -- Mathematical models | Quantum physics (quantum mechanics & quantum field theory) | SCIENCE / Physics / Quantum TheoryAdditional physical formats: Print version:: No titleDDC classification: 530.13 LOC classification: QC174.85.P48 | F478 2018ebOnline resources: Click here to access online Also available in print.
|Item type||Current library||Call number||Status||Date due||Barcode|
|Ebooks||Indian Institute of Technology Delhi - Central Library||Available|
"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.
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.
Graduate students and researchers in STEM fields working with quantum phenomena and open quantum systems.
Also available in print.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
David Ferry is Regents' Professor Emeritus in the School of Electrical, Computer, and Energy Engineering at Arizona State University. He was also graduate faculty in the Department of Physics and the Materials Science and Engineering program at ASU, as well as Visiting Professor at Chiba University in Japan. He came to ASU in 1983 following shorter stints at Texas Tech University, the Office of Naval Research, and Colorado State University. In the distant past, he received his doctorate from the University of Texas, Austin, and spent a postdoctoral period at the University of Vienna, Austria. He enjoys teaching (which he refers to as 'warping young minds') and research. The latter is focused on semiconductors, particularly as they apply to nanotechnology and integrated circuits, as well as quantum effects in devices. In 1999, he received the Cledo Brunetti Award from the Institute of Electrical and Electronics Engineers, and is a Fellow of this group as well as the American Physical Society and the Institute of Physics (UK). He has been a Tennessee Squire since 1971 and an Admiral in the Texas Navy since 1973. He is the author, co-author, or editor of some 40 books and about 900 refereed scientific contributions. Mihail (Mixi) Nedjalkov received his doctoral (PhD) degree in Physics in 1990 and his doctor of science (DSc) 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.
Title from PDF title page (viewed on December 14, 2018).