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Electron transport properties of few-electron open quantum dots within the spin-restricted Hartree-Fock approximation are studied. The self-consistent numerical calculations were performed for a whole device, including the semi-infinite…

介观与纳米尺度物理 · 物理学 2015-05-27 S. Ihnatsenka

We bound the number of electrons $Q$ that an atom can bind in excess of neutrality for density functionals generalizing the classical Thomas-Fermi-Weizs\"acker functional: instead of the classical power $5/3$ more general powers $p$ are…

数学物理 · 物理学 2025-02-24 Rafael D. Benguria , Heinz Siedentop

We study the energy levels of H$_2$ molecules in a superstrong magnetic field ($B\go 10^{12}$ G), typically found on the surfaces of neutron stars. The interatomic interaction potentials are calculated by a Hartree-Fock method with…

天体物理学 · 物理学 2009-10-28 Dong Lai , Edwin E. Salpeter

Basis set convergence of the Hartree-Fock and the correlation energy is examined for the hydrogen bonded infinite bent chains (HF)_infinity and (HCl)_infinity. We employ series of correlation consistent basis sets up to quintuple zeta…

其他凝聚态物理 · 物理学 2007-05-23 Christian Buth , Beate Paulus

This article is concerned with the derivation and the mathematical study of a new mean-field model for the description of interacting electrons in crystals with local defects. We work with a reduced Hartree-Fock model, obtained from the…

数学物理 · 物理学 2009-02-06 Eric Cancès , Amélie Deleurence , Mathieu Lewin

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

化学物理 · 物理学 2014-02-11 Dimitri N. Laikov

In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge $Ze$, $Z > 0$, fixed at the origin and an electron of mass $m$ and charge $e$. This system forms…

数学物理 · 物理学 2007-05-23 Christian Hainzl , Masao Hirokawa , Herbert Spohn

The multilayer multiconfiguration time-dependent Hartree theory within second quantization representation of the Fock space is applied to study correlated electron transport in models of single-molecule junctions. Extending previous work,…

介观与纳米尺度物理 · 物理学 2015-06-12 Haobin Wang , Michael Thoss

It is shown that the Hartree-plus-exchange-correlation density functional potential for an integer N-electron system differs by a constant form the corresponding potential for an (N-1)-electron system if the densities are determined from…

材料科学 · 物理学 2011-07-14 Daniel P. Joubert

We study atomic ground state energies for neutral atoms as the nuclear charge $Z$ is large in the no-pair formalism. We show that for a large class of projections defining the underlying Dirac sea -- covering not only the physical…

数学物理 · 物理学 2025-07-01 Long Meng , Heinz Siedentop

In the framework of a recently developed alpha-cluster model a nucleus is represented as a core (alpha-cluster liquid drop with dissolved excess neutron pairs in it) and a nuclear molecule on its surface. From analysis of experimental…

核理论 · 物理学 2010-09-01 G. K. Nie

We study the long-time behavior of the 3-dimensional repulsive nonlinear Hartree equation with an external attractive Coulomb potential $-Z/|x|$, which is a nonlinear model for the quantum dynamics of an atom. We show that, after a…

偏微分方程分析 · 数学 2016-01-20 Enno Lenzmann , Mathieu Lewin

It is shown that, in the self-consistent quantum statistical Hartree-Fock approximation, the number of electronic states localized on one nucleus is finite. This result is obtained on the basis of the general electron-nuclear model of…

统计力学 · 物理学 2010-06-14 V. B. Bobrov , S. A. Trigger

We present, for the first time, a detailed theory of high density matter including the entire baryon octet at finite temperature, based on a fully relativistic mean field model with a consistent treatment of exchange (Fock) terms, using the…

核理论 · 物理学 2023-10-31 P A M Guichon , J R Stone , A W Thomas

Recently, we have proposed the existence of a universal relation between the maximal electric charge and total mass of any weakly self-gravitating object: $Z\leq Z^*={\alpha}^{-1/3}A^{2/3}$, where $Z$ is the number of protons, $A$ is the…

高能物理 - 理论 · 物理学 2011-01-10 Shahar Hod

Ground state energies and decay widths of particle unstable nuclei are calculated within the Hartree-Fock approximation by performing a complex scaling of the many-body Hamiltonian. Through this transformation, the wave functions of the…

核理论 · 物理学 2009-01-23 A. T. Kruppa , P. -H. Heenen , H. Flocard , R. J. Liotta

We develop a nuclear mass model that is based on chiral effective field theory at next-to-next-to leading order. Nuclear binding energies are computed via the Hartree-Fock method using a Hamiltonian from delta-full chiral effective field…

核理论 · 物理学 2025-04-30 C. Mishra , A. Ekström , G. Hagen , M. Menickelly , T. Papenbrock , S. M. Wild

We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

介观与纳米尺度物理 · 物理学 2012-10-29 Jiang Qian , Bertrand I. Halperin

The relativistic Hartree approach describing the bound states of both nucleons and anti-nucleons in finite nuclei has been extended to include tensor couplings for the $\omega$- and $\rho$-meson. After readjusting the parameters of the…

核理论 · 物理学 2009-11-07 Guangjun Mao

Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a…

核理论 · 物理学 2017-08-03 Shihang Shen , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang