CORRELATION ENERGY OF AN ELECTRON GAS AT HIGH DENSITY: PLASMA OSCILLATIONS

Journal Article · Fri Nov 01 04:00:00 EST 1957 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.108.507· OSTI ID:4322324

Sawada, K; Brueckner, K A; Fukuda, N; Brout, R

The contribution from zero-point plasma oscillations to the correlation energy of an electron gas at high density is considered, using the exact high- density theory of GellMann and Brueckner and of Sawada. The plasmon energy is determined as a function of q by an eigenvalue equation identical with the dispersion relation of Bohm and Pines. The plasma solutions are stable only below the energymomentum values at which they merge with the continuum spectrum arising from particle excitation, thus introducing a natural cutoff into the theory. At high density, however, it is shown that this cutoff can be allowed to become infinite without affecting the correlation energy. The contribution from the plasma energy is exactly re-expressed in terms of the contribution from the scattering states by making use of the analytic properties of the scattering amplitudes. This transformation also establishes the connection between the Gell- Mann-Brueckner and Sawada results. Some remarks are finally made on the relation between these results and those of Bohm and Pines. (auth)

• Research Organization: Univ. of Pennsylvania, Philadelphia; Cornell Univ., Ithaca, N.Y.
• NSA Number: NSA-12-003418
• OSTI ID: 4322324
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 108; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DISPERSIONS
EIGENVALUES
ELECTRONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
EXCITATION
GASES
INTERACTIONS
MANY BODY PROBLEM
MATHEMATICS
MOMENTUM
OSCILLATIONS
PARTICLES
PHYSICS
PLASMA
SCATTERING
SPECTRA