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A systematic method to account for electron correlation in periodic systems which can predict quantitatively correct band structures of non-conducting solids from first principles is presented. Using localized Hartree-Fock orbitals (both…

Other Condensed Matter · Physics 2007-05-23 V. Bezugly , U. Birkenheuer

Energies, wavelengths, transition probabilities, and oscillator strengths have been calculated for the 4s24p2-4s4p3, 4s24p2-4s24p4d and 4s4p3-4p4 allowed transitions in heavy Ge-like ions with Z=59-63. The fully relativistic…

Atomic Physics · Physics 2010-11-11 O. Nagy , Fatma El_Sayed

Staring from the Lagrangian density that foots on the meson-propagated picture of nuclear force, the full Hamiltonian, that contains both mean field and pairing contributions, is derived by quantizing the Dirac spinor field in the…

Nuclear Theory · Physics 2022-04-06 Jing Geng , Wen Hui Long

Background: The time-dependent Hartree-Fock (TDHF) theory has been successful in describing low-energy heavy ion collisions. Recently, we have shown that multinucleon transfer processes can be reasonably described in the TDHF theory…

Nuclear Theory · Physics 2014-12-24 Kazuyuki Sekizawa , Kazuhiro Yabana

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

We propose a novel partitioning of the Hilbert space, hierarchy configuration interaction (hCI), where the excitation degree (with respect to a given reference determinant) and the seniority number (i.e., the number of unpaired electrons)…

Chemical Physics · Physics 2022-05-12 Fábris Kossoski , Yann Damour , Pierre-François Loos

We revisit the Hartree-Fock (HF) calculation for the uniform electron gas, or jellium model, whose predictions -- divergent derivative of the energy dispersion relation and vanishing density of states (DOS) at the Fermi level -- are in…

Strongly Correlated Electrons · Physics 2015-03-02 Alexander I. Blair , Aristeidis Kroukis , Nikitas I. Gidopoulos

A second-order many-body perturbation correction to the relativistic Dirac-Hartree-Fock energy is evaluated stochastically by integrating 13-dimensional products of four-component spinors and Coulomb potentials. The integration in the real…

Quantum Physics · Physics 2022-06-16 J. César Cruz , Jorge Garza , Takeshi Yanai , So Hirata

Excitation energies, oscillator strengths, and transition rates are calculated for (5d2+5d6s+6s2)--(5d6p+5d5f+6s6p) electric dipole transitions in Yb-like ions with nuclear charges Z ranging from 72 to 100. Relativistic many-body…

Atomic Physics · Physics 2016-09-08 U. I. Safronova , W. R. Johnson , M. S. Safronova , J. R. Albritton

Mercury (Hg) and superheavy element copernicium (Cn) are investigated using equation-of-motion relativistic coupled-cluster (EOM-RCC) and configuration interaction plus many-body perturbation theory (CI+MBPT) methods. Key atomic properties…

Atomic Physics · Physics 2025-07-25 Hongxu Liu , Jize Han , Yanmei Yu , Yanfeng Ge , Yong Liu , Zhiguo Huang

We report ground- and excited-state dipole moments and oscillator strengths (computed in different ``gauges'' or representations) of full configuration interaction (FCI) quality using the selected configuration interaction method known as…

A new method for constructing a Hamiltonian for configuration interaction calculations with constraints to energies of spherical configurations obtained with energy-density-functional (EDF) methods is presented. This results in a unified…

Nuclear Theory · Physics 2011-01-04 B. Alex Brown , Angelo Signoracci , Morten Hjorth-Jensen

Relativistic magnetic hyperfine interaction Hamiltonian based on the Douglas-Kroll-Hess (DKH) theory up to the second order is implemented within the ab initio multireference methods including spin-orbit coupling in the Molcas/OpenMolcas…

Materials Science · Physics 2023-09-19 Aleksander L. Wysocki , Kyungwha Park

The excitation energies and ionization potentials of the atoms in the first transition series are notoriously difficult to compute accurately. Errors in calculated excitation energies can range from 1--4 eV at the Hartree-Fock level, and…

chem-ph · Physics 2009-10-22 Thomas V. Russo , Richard L. Martin , P. Jeffrey Hay

Atomic properties of $n=3$ states of the W$^{56+}$ $-$ W$^{61+}$ ions are systematically investigated through two state-of-the-art methods, namely, the second-order many-body perturbation theory, and the multi-configuration…

Atomic Physics · Physics 2021-04-28 Chun Yu Zhang , Kai Wang , Ran Si , Michel Godefroid , Per Jönsson , Jun Xiao , Ming Feng Gu , Chong Yang Chen

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

We report calculations of energy levels, radiative rates, and electron impact excitation rates for transitions in Li-like ions with 12 <= Z <= 20. The GRASP (general-purpose relativistic atomic structure package) is adopted for calculating…

Atomic and Molecular Clusters · Physics 2015-06-05 K. M. Aggarwal , F. P. Keenan

We report calculations of energy levels, radiative rates, collision strengths, and effective collision strengths for transitions among the lowest 25 levels of the n <= 5 configurations of He~II. The general-purpose relativistic atomic…

Solar and Stellar Astrophysics · Physics 2017-04-25 K. M. Aggarwal , A. Igarashi , F. P. Keenan , S. Nakazaki

Dilepton production in heavy-ion collisions at collider energies - i.e., for the Relativistic Heavy-Ion Collider (RHIC) and the Large Hadron Collider (LHC) - is studied within an approach that uses coarse-grained transport simulations to…

Nuclear Theory · Physics 2016-08-22 Stephan Endres , Hendrik van Hees , Marcus Bleicher

Dielectronic recombination resonance strengths, energy-differential cross sections, and recombination rate coefficients are calculated fully relativistically for Fe$^{2+}$ ions. The ground-state and resonance energies are determined using…

Atomic Physics · Physics 2025-04-03 S. Singh , Z. Harman