A Collective Description of-Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas

@article{Pines1953ACD,
  title={A Collective Description of-Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas},
  author={David S. Pines},
  journal={Physical Review},
  year={1953},
  volume={92},
  pages={609-625}
}
  • D. Pines
  • Published 1 November 1953
  • Physics
  • Physical Review
The behavior of the electrons in a dense electron gas is analyzed quantum-mechanically by a series of canonical transformations. The usual Hamiltonian corresponding to a system of individual electrons with Coulomb interactions is first re-expressed in such a way that the long-range part of the Coulomb interactions between the electrons is described in terms of collective fields, representing organized "plasma" oscillation of the system as a whole. The Hamiltonian then describes these collective… 

Figures from this paper

On the Interaction of Electrons in Metals
The energy of interaction between free electrons in an electron gas is considered. The interaction energy of electrons with parallel spin is known to be that of the space charges plus the exchange
Homogeneous Metallic Systems
The traditional theories of electrons in metals, such as the Sommerfeld theory, pay little attention to electron-electron interactions. Instead, the electrons are treated as an ideal gas of fermions.
The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas
  • J. Hubbard
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1958
The theory previously developed and applied to calculate the correlation energy of a free-electron gas is extended in this paper to calculate the energy of an electron gas in a potential field. Two
Quantized plasmon excitations of electron gas in potential well
Using the Schr\"odinger-Poisson system in this paper the basic quantum features of plasmon excitations in a free noninteracting electron gas with arbitrary degeneracy is investigated. The standing
Colloquium : nonlinear collective interactions in quantum plasmas with degenerate electron fluids
The current understanding of some important nonlinear collective processes in quantum plasmas with degenerate electrons is presented. After reviewing the basic properties of quantum plasmas, model
Quantum interference of three dimensional plasmon excitations
In this paper, the quantum interference of plasmon excitations in the presence of charges or multipolar sources/sinks is investigated. The effective Schrodinger-Poisson system for dynamical
...
...