On the quantum field theory of the inhomogeneous electron gas
K Dietz and
G Weymans
Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 2, 363-392
Abstract:
The equilibrium properties of an inhomogeneous gas of interacting fermions are derived using methods of finite temperature quantum field theory. A Landau-type quasiparticle spectrum yielding the exact ground state energy or, at finite temperatures, the exact thermodynamic potential is constructed from the g-Hartree equations. The heat kernel expansion of Schrödinger operators is then used to express the Hohenberg-Kohn density functional as a series in the quasiparticle density which is asymptotic in the Thomas-Fermi limit. This series is systematically derived from the microscopic action and incorporates boundary effects in an unambiguous manner. The methods developed apply to a large class of field-theoretical models encompassing theories with Yukawa interactions.
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:2:p:363-392
DOI: 10.1016/0378-4371(85)90004-4
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