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The concept of localization in Fock space is extended to the study of the many particle excitation statistics of interacting electrons in a two dimensional quantum dot. In addition, a finite size scaling hypothesis for Fock space…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. Berkovits , Y. Avishai

The energy density functional (EDF) method is very widely used in nuclear physics, and among the various existing functionals those based on the relativistic Hartree (RH) approximation are very popular because the exchange contributions…

Nuclear Theory · Physics 2014-05-16 Nguyen Van Giai , Haozhao Liang , Huai-Qiang Gu , Wenhui Long , Jie Meng

In contrary to widely spread view about the substantial delocalization of f electrons in heavy- fermion (h-f) compounds it is argued that h-f phenomena can be understood with localized f electrons. Then the role of crystal-field…

Strongly Correlated Electrons · Physics 2008-10-08 R. J. Radwanski

Relationships are obtained connecting the two-nucleon overlap function of the eigenstates in the (A-2) particle system with the asymptotic behavior of the two-body density matrix for the ground state of the A-particle system.This makes it…

Nuclear Theory · Physics 2009-10-31 A. N. Antonov , S. S. Dimitrova , M. V. Stoitsov , D. Van Neck , P. Jeleva

Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding…

Nuclear Theory · Physics 2010-12-02 W. H. Dickhoff , D. Van Neck , S. J. Waldecker , R. J. Charity , L. G. Sobotka

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

While ab initio many-body techniques have been able to successfully describe the properties of light and intermediate mass nuclei based on chiral effective field theory interactions, neutron-rich nuclei still remain out of reach for these…

Nuclear Theory · Physics 2020-01-08 R. Navarro Pérez , N. Schunck

We consider the combined influence of disorder, electron-electron interactions and quantum hopping on the properties of electronic systems in a localized phase, approaching an insulator-metal transition. The generic models in this regime…

Disordered Systems and Neural Networks · Physics 2018-07-11 Thomas Vojta , Michael Schreiber

We test local and semi-local density functionals for the electronic exchange for a variety of systems including atoms, molecules, and atomic chains. In particular, we focus on a recent universal extension of the Becke-Johnson exchange…

Materials Science · Physics 2010-11-01 Micael J. T. Oliveira , Esa Räsänen , Stefano Pittalis , Miguel A. L. Marques

We have found a (dense) basis for the N-representable, two-electron densities, in which all N-representable two-electron densities can be expanded, using positive coefficients. The inverse problem of finding a representative wavefunction,…

Strongly Correlated Electrons · Physics 2009-11-10 Mats-Erik Pistol

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are…

Nuclear Theory · Physics 2011-09-02 E. N. E. van Dalen , H. Müther

We prove the occurrence of Anderson localisation for a system of infinitely many particles interacting with a short range potential, within the ground state Hartree-Fock approximation. We assume that the particles hop on a discrete lattice…

Mathematical Physics · Physics 2016-04-01 Raphael Ducatez

A rigorous treatment of light-matter interactions typically requires an interacting quantum field theory. However, most applications of interest are handled using classical or semiclassical models, which are valid only when quantum-field…

Quantum Gases · Physics 2024-12-20 J. L. Figueiredo , J. T. Mendonça , H. Terças

We propose a method to introduce Fock term contributions in relativistic models of fermions coupled to mesons, including self-interactions for the mesonic fields. We show that effects on equilibrium properties and on the dynamical response…

Nuclear Theory · Physics 2016-09-08 V. Greco , F. Matera , M. Colonna , M. Di Toro , G. Fabbri

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

Recent progress about "modular localization" reveals that, as a result of the S-Matrix in its role of a "relative modular invariant of wedge-localization, one obtains a new non-perturbative constructive setting of local quantum physicis…

Mathematical Physics · Physics 2012-12-20 Bert Schroer

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal…

Nuclear Theory · Physics 2026-03-04 Stavros Bofos , Benjamin Bally , Thomas Duguet , Mikael Frosini

The electron localization function (ELF) is a universal measure of electron localization that allows for, e.g., an effective characterization of physical bonds in molecular and solid state systems. In the context of the widely used…

Strongly Correlated Electrons · Physics 2019-08-20 Alexander Lindmaa , Joel Davidsson , Ann E. Mattsson , Rickard Armiento

The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces to single-particle physics in the absence…

Quantum Gases · Physics 2017-02-15 Piotr Sierant , Dominique Delande , Jakub Zakrzewski