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The implementation of the orbital minimization method (OMM) for solving the self-consistent Kohn-Sham (KS) problem for electronic structure calculations in a basis of non-orthogonal numerical atomic orbitals of finite-range is reported. We…

计算物理 · 物理学 2014-02-06 Fabiano Corsetti

We propose a simple linear scaling expression in reciprocal space for evaluating the ion--electron potential of crystalline solids. The expression replaces the long-range ion--electron potential with an equivalent localized charge…

材料科学 · 物理学 2016-12-21 Xuecheng Shao , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

The embedded atom method (EAM) potentials are probably the most widely used interatomic potentials for metals and alloys. However, the EAM potentials impose three constraints on elastic constants that are inconsistent with experiments. At a…

材料科学 · 物理学 2015-06-11 L. G. Zhou , Hanchen Huang

The extension of the highly-optimized local natural orbital (LNO) CCSD(T) method is presented for high-spin open-shell molecules. The techniques enabling the outstanding efficiency of the closed-shell LNO-CCSD(T) variant are adopted,…

化学物理 · 物理学 2023-11-17 P. Bernát Szabó , József Csóka , Mihály Kállay , Péter R. Nagy

Application of the convergent close-coupling (CCC) method to electron-impact ionization of the ground state of atomic hydrogen is considered at incident energies of 15.6, 17.6, 20, 25, 27.2, 30, 54.4, 150 and 250 eV. Total through to fully…

原子物理 · 物理学 2015-06-26 Igor Bray

A modification of an embedded-atom method (EAM)-type potential is proposed for a quantitative description of equilibrium and non-equilibrium properties of metal systems within the molecular-dynamics framework. The modification generalizes…

介观与纳米尺度物理 · 物理学 2021-07-09 Alexey Verkhovtsev , Andrei V. Korol , Gennady Sushko , Stefan Schramm , Andrey V. Solov'yov

We present a comprehensive theoretical study of the ionization potentials of the MF (M= Ca, Sr, Ba) molecules using the state-of-the-art relativistic coupled cluster approach with single, double, and perturbative triple excitations…

We report the implementation of equation-of-motion coupled-cluster (EOMCC) method in the four-component relativistic framework with the spherical atomic potential to generate the excited states from a closed-shell atomic configuration. This…

原子物理 · 物理学 2015-06-19 D. K. Nandy , Yashpal Singh , B. K. Sahoo

We study the accuracy of a scaled Poisson approximation to the weighted sum of independent Poisson random variables, focusing on in particular the relative error of the tail distribution. A bound on the relative approximation error is…

概率论 · 数学 2024-03-18 Yue Tan , Yingdong Lu , Cathy Xia

We introduce a new equation-of-motion coupled-cluster method based on a pair coupled-cluster doubles (pCCD) reference, termed frozen-pair EOM-CCSD (EOM-fpCCSD). This approach combines the computational efficiency of the pCCD ansatz with a…

化学物理 · 物理学 2026-05-06 Katharina Boguslawski , Paweł Tecmer

Parameterized convex minorant (PCM) method is proposed for the approximation of the objective function in amortized optimization. In the proposed method, the objective function approximator is expressed by the sum of a PCM and a nonnegative…

机器学习 · 计算机科学 2023-11-13 Jinrae Kim , Youdan Kim

We present an initialisation method for variational quantum algorithms applicable to intermediate scale quantum computers. The method uses simulated annealing of the efficiently simulable Clifford parameter points as a pre-optimisation to…

量子物理 · 物理学 2022-07-05 M. H. Cheng , K. E. Khosla , C. N. Self , M. Lin , B. X. Li , A. C. Medina , M. S. Kim

We derive an approximate expression for a "radiative potential" which can be used to calculate QED strong Coulomb field radiative corrections to energies and electric dipole (E1) transition amplitudes in many-electron atoms with an accuracy…

原子物理 · 物理学 2009-08-18 V. V. Flambaum , J. S. M. Ginges

In conditions where the interaction betweeen an atom and a short high-frequency extreme ultraviolet laser pulse is a perturbation, we show that a simple theoretical approach, based on Coulomb-Volkov-type states, can make reliable…

原子物理 · 物理学 2009-11-07 Guillaume Duchateau , Eric Cormier , Robert Gayet

The success of the "Cluster Variation Method" (CVM) in reproducing quite accurately the free energies of Monte Carlo (MC) calculations on Ising models is explained in terms of identifying a cancellation of errors: We show that the CVM…

材料科学 · 物理学 2009-10-31 Luiz G. Ferreira , C. Wolverton , Alex Zunger

We report our successful implementation of the full fledged relativistic equation of motion coupled cluster (EOMCC) method. This method is employed to compute the principal ionization potentials (IPs) of closed-shell rare gas atoms, He-like…

原子物理 · 物理学 2014-04-24 Himadri Pathak , B. K. Sahoo , B. P. Das , Nayana Vaval , Sourav Pal

The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the…

统计计算 · 统计学 2018-05-14 Chanseok Park

The Nystr\"om method is a popular choice for finding a low-rank approximation to a symmetric positive semi-definite matrix. The method can fail when applied to symmetric indefinite matrices, for which the error can be unboundedly large. In…

数值分析 · 数学 2023-10-10 Taejun Park , Yuji Nakatsukasa

We report the core binding energies of K-edge and L-edge transitions in simple semiconducting and insulating solids using periodic equation-of-motion coupled-cluster theory with single and double excitations (EOM-CCSD). In our all-electron…

化学物理 · 物理学 2025-08-04 Ethan A. Vo , Timothy C. Berkelbach

The block coordinate descent (BCD) method is widely used for minimizing a continuous function f of several block variables. At each iteration of this method, a single block of variables is optimized, while the remaining variables are held…

最优化与控制 · 数学 2012-09-12 Meisam Razaviyayn , Mingyi Hong , Zhi-Quan Luo