title: Energy Densities in the Strong-Interaction Limit of Density Functional Theory.
abstract: We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small atoms and small model quantum dots (Hooke's atoms) are compared with available approximations defined in the same gauge. The idea of a local interpolation along the adiabatic connection is discussed, comparing the energy densities of the Kohn-Sham, the physical, and the strong-interacting systems. We also use our results to analyze the local version of the Lieb-Oxford bound, widely used in the construction of approximate exchange-correlation functionals.
authors.affiliation: Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
authors.forename: André
authors.initials: A
authors.lastname: Mirtschink
authors.affiliation: Institute of Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Seidl
authors.affiliation: Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
authors.forename: Paola
authors.initials: P
authors.lastname: Gori-Giorgi