Cargando…

Many-body quantum theory in condensed matter physics : an introduction /

"This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor while at the same tim...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bruus, Henrik
Otros Autores: Flensberg, Karsten
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Oxford University Press, 2004.
Colección:Oxford graduate texts.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • First and second quantization
  • First quantization, single-particle systems
  • First quantization, many-particle systems
  • Permutation symmetry and indistinguishability
  • The single-particle states as basis states
  • Operators in first quantization
  • Second quantization, basic concepts
  • The occupation number representation
  • The boson creation and annihilation operators
  • The fermion creation and annihilation operators
  • The general form for second quantization operators
  • Change of basis in second quantization
  • Quantum field operators and their Fourier transforms
  • Second quantization, specific operators
  • The harmonic oscillator in second quantization
  • The electromagnetic field in second quantization
  • Operators for kinetic energy, spin, density and current
  • The Coulomb interaction in second quantization
  • Basis states for systems with different kinds of particles
  • Second quantization and statistical mechanics
  • Distribution function for non-interacting fermions
  • Distribution function for non-interacting bosons
  • The electron gas
  • The non-interacting electron gas
  • Bloch theory of electrons in a static ion lattice
  • Non-interacting electrons in the jellium model
  • Non-interacting electrons at finite temperature
  • Electron interactions in perturbation theory
  • Electron interactions in first-order perturbation theory
  • Electron interactions in second-order perturbation theory
  • Electron gases in 3, 2, 1 and 0 dimensions
  • 3D electron gases: metals and semiconductors.