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The Hartree-Fock-Rothaan equations are solved for He-like ions using the iterative self-consistent method. New complete and orthonormal sets of exponential-type orbitals are employed as the basis. These orbitals satisfy the orthonormality…

Quantum Physics · Physics 2025-06-26 A. Bagci , P. E. Hoggan

We perform Hartree-Fock+BCS calculations for even-even nuclei with 2 <= Z <= 82 and N ranging from outside the proton drip line to the experimental frontier on the neutron-rich side. The ground state solutions are obtained for 737 nuclei,…

Nuclear Theory · Physics 2009-10-28 N. Tajima , N. Onishi , S. Takahara

Orbital-free density functional theory (OF-DFT) runs at low computational cost that scales linearly with the number of simulated atoms, making it suitable for large-scale material simulations. It is generally considered that OF-DFT strictly…

Materials Science · Physics 2022-04-05 Qiang Xu , Cheng Ma , Wenhui Mi , Yanchao Wang , Yanming Ma

A novel analytically solvable deformed Woods-Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. Hamiltonian hierarchy method and the shape invariance property are used in the calculations. The energy levels…

Nuclear Theory · Physics 2007-05-23 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever

The controlled and reversible interconversion between the free-base and the doubly dehydrogenated form of a 5,10,15,20-tetra(p-hydroxyphenyl)porphyrin molecule in an ordered array is demonstrated. This is achieved through voltage pulses by…

The present paper generalizes preceding papers of the author and opens a cycle of works concerning the general posing and solution in analytic form of the quantum-mechanical inverse scattering problem (for a given partial channel) in a…

Nuclear Theory · Physics 2007-05-23 V. M. Muzafarov

This work presents a novel approach to distribute orbitals into subspaces within electron-pairing-based natural orbital functionals (NOFs). This approach modifies the coupling between weakly and strongly occupied orbitals by applying an…

Chemical Physics · Physics 2025-02-05 Élodie Boutou , Juan Felipe Huan Lew-Yee , Jose Maria Mercero , Mario Piris

A systematic analysis of nuclear deformation is made for neutron-rich Ti, Cr, and Fe isotopes to explore the nuclear structure in the island of inversion near N = 40, where strong nuclear deformation is predicted. The nuclear ground states…

Nuclear Theory · Physics 2022-02-02 W. Horiuchi , T. Inakura , S. Michimasa

A microscopic and consistent description of both nuclear structure and reactions is instrumental to extend the predictivity of models calculating scattering observables. In particular, this is crucial in the case of exotic nuclei not yet…

Nuclear Theory · Physics 2022-11-28 Andrea Idini , Jimmy Rotureau , Johan Boström , Jimmy Ljungberg , B. Gillis Carlsson

We present a method to make highly accurate pseudopotentials for use with orbital-free density functional theory (OF-DFT) with given exchange-correlation and kinetic energy functionals, which avoids the compounding of errors of Kohn-Sham…

Materials Science · Physics 2015-02-04 Fleur Legrain , Sergei Manzhos

The $GW$ method for calculating quasi-particle energies of solids commonly begin from a DFT Hamiltonian and Kohn-Sham orbitals in a plane wave basis. Screening of the coulomb interaction is implemented using the inverse dielectric function…

Materials Science · Physics 2026-05-20 Charles H. Patterson

We derive the photoionisation cross section in dipole approximation for many-electron atoms and ions for neutron star magnetic field strengths in the range of 10^7 to 10^9 T. Both bound and continuum states are treated in adiabatic…

Atomic Physics · Physics 2013-08-08 Thorsten Kersting , Damir Zajec , Peter Diemand , Günter Wunner

Here we present a density matrix based KS inversion method formulated entirely within a Gaussian basis representation to optimize a KS potential matrix that reproduces a target electron density. Inverse Kohn-Sham (KS) density functional…

Chemical Physics · Physics 2026-03-24 Ziwei Chai , Sandra Luber

Standard density functional approximations greatly over-estimate the static polarizability of longchain polymers, but Hartree-Fock or exact exchange calculations do not. Simple self-interaction corrected (SIC) approximations can be even…

Atomic and Molecular Clusters · Physics 2007-08-22 C. D. Pemmaraju , S. Sanvito , K. Burke

Antiferromagnetic and charge ordered Hartree-Fock solutions of the one-band Hubbard model with on-site and nearest-neighbor Coulomb repulsions are exactly mapped onto an auxiliary local Kohn-Sham (KS) problem within a density-functional…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Solovyev

We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions. In a first step of each method, a band-limited decimated periodic…

chao-dyn · Physics 2009-10-31 J. Main , P. A. Dando , Dz. Belkic , H. S. Taylor

The energy minimization involved in density functional calculations of electronic systems can be carried out using an exponential transformation that preserves the orthonormality of the orbitals. The energy of the system is then represented…

Computational Physics · Physics 2022-11-09 Aleksei V. Ivanov , Elvar Ö. Jónsson , Tejs Vegge , Hannes Jónsson

A construction of integrable hamiltonian systems associated with different graded realizations of untwisted loop algebras is proposed. Such systems have the form of Euler - Arnold equations on orbits of loop algebras. The proof of…

solv-int · Physics 2016-09-08 Petro Holod , Sergey Kondratiuk

Using the Nikiforov Uvarov method, an application of the relativistic Duffin Kemmer Petiau equation in the presence of a deformed Hulthen potential is presented for spin zero particles. We derived the first order coupled differential radial…

Quantum Physics · Physics 2009-11-10 Fevziye Yasuk , Cuneyt Berkdemir , Ayse Berkdemir , Coskun Onem

Simplified Hartree-Fock computations are carried out on the atoms He through Ne, using orthonormalized basis functions for the 1s, 2s and 2p orbitals dependent on three parameters. Using Mathematica with the new Apple M1 chip, computations…

Quantum Physics · Physics 2021-11-22 S. M. Blinder
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