Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ferry, David K. (Autor), Nedjalkov, Mihail (Autor)
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.