The Wigner function in science and technology /
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...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2018]
|
Colección: | IOP (Series). Release 5.
IOP expanding physics. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.