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In this paper, we consider the Dirac-Hartree-Fock equations for system has many-particles. The difficulties associated with Gaussians model are likely to be more complex in relativistic Dirac-Hartree-Fock calculations. To processing these…

原子物理 · 物理学 2019-12-11 Bilal K. Jasim , Ayad A. Al-Ani. Saad N. Abood

The Impulse Compton Profiles (CP's) J(q) and the <p^n> - expectation values for some inert gas atoms (He-Kr) are computed and compared within the Harbola-Sahni (HS), Hartree-Fock(HF) theories and a Self Interaction Corrected (SIC) density…

原子物理 · 物理学 2009-10-31 Rajendra R. Zope , Manoj K. Harbola , Rajeev K. Pathak

Most modern calculations of many-electron atoms use basis sets of atomic orbitals. An accurate account for the electronic correlations in heavy atoms is very difficult computational problem and optimization of the basis sets can reduce…

原子物理 · 物理学 2024-01-17 M. G. Kozlov , Yu. A. Demidov , M. Y. Kaygorodov , E. V. Triapitsyna

In this work, the calculation of complexity on atomic systems is considered. In order to unveil the increasing of this statistical magnitude with the atomic number due to the relativistic effects, recently reported in [A. Borgoo, F. De…

混沌动力学 · 物理学 2008-06-12 Jaime Sanudo , Ricardo Lopez-Ruiz

Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size, therefore, it is helpful to have the underlying atomic basis functions that are less in number but of…

化学物理 · 物理学 2019-03-15 Dimitri N. Laikov

A new relativistic Hartree-Fock approach with density-dependent $\sigma$, $\omega$, $\rho$ and $\pi$ meson-nucleon couplings for finite nuclei and nuclear matter is presented. Good description for finite nuclei and nuclear matter is…

核理论 · 物理学 2009-11-11 WenHui Long , Nguyen Van Giai , Jie Meng

The dual-kinetic-balance (DKB) finite basis set method for solving the Dirac equation for hydrogen-like ions [V. M. Shabaev et al., Phys. Rev. Lett. 93, 130405 (2004)] is extended to problems with a non-local spherically-symmetric…

原子物理 · 物理学 2011-07-13 Kyle Beloy , Andrei Derevianko

A variational solution procedure is reported for the many-particle no-pair Dirac-Coulomb-Breit Hamiltonian aiming at a parts-per-billion (ppb) convergence of the atomic and molecular energies, described within the fixed nuclei…

量子物理 · 物理学 2024-06-19 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

核理论 · 物理学 2021-04-27 S. Gmuca , K. Petrik , J. Leja

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

We introduce nested gausslet (NG) bases, an improvement on previous gausslet bases which can treat systems containing atoms with much larger atomic number. We also introduce pure Gaussian distorted gausslet bases, which allow the…

化学物理 · 物理学 2023-09-20 Steven R. White , Michael J. Lindsey

The rapidly growing interest in simulating condensed-phase materials using quantum chemistry methods calls for a library of high-quality Gaussian basis sets suitable for periodic calculations. Unfortunately, most standard Gaussian basis…

化学物理 · 物理学 2022-06-07 Hong-Zhou Ye , Timothy C. Berkelbach

Effective Lagrangians suitable for a relativistic Hartree-Fock description of nuclear systems are presented. They include the 4 effective mesons $\sigma, \omega, \rho$ and $\pi$ with density-dependent meson-nucleon couplings. The criteria…

核理论 · 物理学 2007-05-23 Wen Hui Long , Nguyen Van Giai , Jie Meng

The $\mathbf{k}\cdot\mathbf{p}$ method, combined with group theory, is an efficient approach to obtain the low energy effective Hamiltonians of crystalline materials. Although the Hamiltonian coefficients are written as matrix elements of…

介观与纳米尺度物理 · 物理学 2024-02-08 João Victor V. Cassiano , Augusto L. Araújo , Paulo E. Faria Junior , Gerson J. Ferreira

Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature $T$) can be described by an effective kinetic theory, valid on sufficiently large time and…

高能物理 - 唯象学 · 物理学 2010-02-16 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

The self-energy of the Dirac Brueckner-Hartree-Fock calculation in nuclear matter is parametrized by introducing density-dependent coupling constants of isoscalar mesons in the relativistic Hartree-Fock (RHF) approach where isoscalar meson…

核理论 · 物理学 2009-10-28 Hua-lin Shi , Bao-qiu Chen , Zhong-yu Ma

Relativistic energy shifts of the low energy levels of Fe have been calculated using the Dirac-Hartree-Fock and configuration interaction techniques. The results are to be used in the search for the space-time variation of the fine…

原子物理 · 物理学 2009-11-13 V. A. Dzuba , V. V. Flambaum

We perform accurate calculations of the dependence of transition frequencies in two valence electron atoms and ions on a variation of the fine structure constant, alpha. The relativistic Hartree-Fock method is used with many-body…

原子物理 · 物理学 2009-02-05 E. J. Angstmann , V. A. Dzuba , V. V. Flambaum

In this study, we develop and implement a specialized coupled-cluster (CC) approach tailored for accurately describing atoms and molecules in strong magnetic fields. Using the open-source Ghent Quantum Chemistry Package (\texttt{GQCP}) in…

原子物理 · 物理学 2025-07-14 T. Zalialiutdinov , D. Solovyev

Using the Mathematica program we calculate numerically the difference of the diagonal matrix elements of the time dependent effective Hamiltonian for the neutral K meson complex. We consider the exactly solvable neutral K meson model based…

高能物理 - 唯象学 · 物理学 2008-11-26 Justyna Jankiewicz
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