At the boundary between reduced density-matrix and density-functional theories

Jerome Percus

Research output: Contribution to journalArticle

Abstract

Here, we revisit the problem of finding the ground-state energy of an N -fermion fluid under an external field, with molecular structure as the ultimate target. Density-functional methods only have to deal with electron density, but require an empirical functional; reduced density-matrix methods involve a matrix on pair space and do give exact bounds, but require very complex linear programming to achieve their results. The polydensity representation that we introduce has the advantage of dealing only with densities, requires no empirical information, and also gives exact bounds; the major problem is that of accumulating and utilizing conditions on the densities that iteratively improve their realizability in the class of N -fermion systems. We indicate several directions along these lines and make some primitive applications.

Original languageEnglish (US)
Article number234103
JournalJournal of Chemical Physics
Volume122
Issue number23
DOIs
StatePublished - Jun 15 2005

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Fermions
Density functional theory
density functional theory
Linear programming
Ground state
Molecular structure
Carrier concentration
fermions
linear programming
Fluids
matrix methods
molecular structure
ground state
fluids
matrices
Direction compound
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

At the boundary between reduced density-matrix and density-functional theories. / Percus, Jerome.

In: Journal of Chemical Physics, Vol. 122, No. 23, 234103, 15.06.2005.

Research output: Contribution to journalArticle

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