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We benchmark many-body perturbation theory by studying neutral, as well as non-neutral, excitations of finite lattice systems. The neutral excitation spectra are obtained by time-propagating the Kadanoff-Baym equations in the Hartree-Fock…

Strongly Correlated Electrons · Physics 2012-05-17 N. Säkkinen , M. Manninen , R. van Leeuwen

We investigate the behavior of disordered interacting electrons in the insulating regime. Our study is based on the quantum Coulomb glass model which is obtained from the classical Coulomb glass by adding hopping matrix elements between…

Disordered Systems and Neural Networks · Physics 2015-06-25 Frank Epperlein , Michael Schreiber , Thomas Vojta

The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equation is a system of nonlinear eigenvalue problems, the study of…

Analysis of PDEs · Mathematics 2023-06-23 Sohei Ashida

We theoretically analyze a quasi-two-dimensional system of fermionic polar molecules in a harmonic transverse confining potential. The renormalized energy bands are calculated by solving the Hartree-Fock equation numerically for various…

Quantum Gases · Physics 2012-02-06 Mehrtash Babadi , Eugene Demler

The (2+1)-dimensional generalized massless Thirring model with 4-component Fermi-fields is investigated by the Hartree-Fock method. The Lagrangian of this model is constructed from two different four-fermion structures. One of them takes…

High Energy Physics - Theory · Physics 2022-10-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We derive a time-dependent density functional theory appropriate for calculating the near-edge X-ray absorption spectrum in molecules and condensed matter. The basic assumption is to increase the space of many-body wave functions from one…

Strongly Correlated Electrons · Physics 2015-06-16 G. F. Bertsch , A. Lee

Three mutually perpendicular symmetry axes of the second order, inversion, and time reversal can be used to construct a double point group denoted by D2h(TD). Properties of this group are analyzed in relation to the symmetry and…

Nuclear Theory · Physics 2009-10-31 J. Dobaczewski , J. Dudek , S. G. Rohozinski , T. R. Werner

The multilayer multiconfiguration time-dependent Hartree method is employed to study vibrationally coupled charge transport in models of single molecule junctions. To increase the efficiency of the simulation method, a representation of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-12 Haobin Wang , Michael Thoss

This note is intended for expanding the details on the derivation and properties of density functional theory, in hope to make them more systematic, better motivated, and step-by-step for readers new to the domain. The note starts with…

Chemical Physics · Physics 2024-12-31 Chang Liu

We have perfomed Time Dependant Hartree-Fock (TDHF) calculations on the non linear response of nuclei. We have shown that quadrupole (and dipole) motion produces monopole (and quadrupole) oscillations in all atomic nuclei. We have shown…

Nuclear Theory · Physics 2009-11-07 C. Simenel , Ph. Chomaz

Quantum many-body nuclear dynamics is treated at the mean-field level with the time-dependent Hartree-Fock (TDHF) theory. Low-lying and high-lying nuclear vibrations are studied using the linear response theory. The fusion mechanism is also…

Nuclear Theory · Physics 2014-02-05 C. Simenel , M. Dasgupta , D. J. Hinde , A. Kheifets , A. Wakhle

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino

We use relativistic Hartree-Fock and configuration interaction methods to calculate the dependence of transition frequencies for singly ionized cobalt on the fine structure constant. The results are to be used in the search for variation of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 V. A. Dzuba , V. V. Flambaum

This article examines the time-dependent Hartree-Fock (TDHF) approximation of single-particle dynamics in systems of interacting fermions. We find the TDHF approximation to be accurate when there are sufficiently many particles and the…

Mathematical Physics · Physics 2007-05-23 Claude Bardos , Francois Golse , Alex D. Gottlieb , Norbert J. Mauser

This work establishes the time-dependent relativistic Hartree-Fock (TD-RHF) model with spherical symmetry for the first time. The time-dependent integro-differential Dirac equations are solved by expanding Dirac spinors on the spherical…

Nuclear Theory · Physics 2024-06-13 Jing Geng , Zhi Heng Wang , Peng Wei Zhao , Yi Fei Niu , Haozhao Liang , Wen Hui Long

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

Materials Science · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari

We use the relativistic Hartree-Fock method, many-body perturbation theory and configuration-interaction method to calculate the dependence of atomic transition frequencies on the fine structure constant, alpha. The results of these…

Atomic Physics · Physics 2008-11-26 J. C. Berengut , V. A. Dzuba , V. V. Flambaum , M. V. Marchenko

Supplementing the Heisenberg model with a Hubbard-commuting kinetic of electrons adds to its spectrum without interference. One consequence is the precise incorporation of canonical linear spin wave theory within the time-dependent…

Strongly Correlated Electrons · Physics 2024-12-11 Rohit Hegde

Theoretical description of nuclear fission remains one of the major challenges of quantum many-body dynamics. The slow, mostly adiabatic motion through the fission barrier is followed by a fast, non-adiabatic descent of the potential…

Nuclear Theory · Physics 2015-01-16 Guillaume Scamps , Cédric Simenel , Denis Lacroix