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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…

Quantum Physics · Physics 2024-06-19 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

Very recently, we have introduced correlation consistent effective core potentials (ccECPs) derived from many-body approaches with the main target being its use in explicitly correlated methods but also in mainstream approaches. The ccECPs…

Distributed point charge models (DCM) and their minimal variants (MDCM) have been integrated with tools widely used for condensed-phase simulations, including a virial-based barostat and a slow-growth algorithm for thermodynamic…

Chemical Physics · Physics 2020-11-03 Mike Devereux , Marco Pezzella , Shampa Raghunathan , Markus Meuwly

A charge conserving approximation scheme determining the excitations of crystalline solids is proposed. Like other such approximations, it relies on "downfolding" of the original microscopic model to a simpler electronic model on the…

Strongly Correlated Electrons · Physics 2018-10-24 Baruch Rosenstein , Dingping Li

We report a new implementation of multireference algebraic diagrammatic construction theory (MR-ADC) for simulations of electron attachment and ionization in strongly correlated molecular systems (EA/IP-MR-ADC). Following our recent work on…

Chemical Physics · Physics 2021-01-19 Koushik Chatterjee , Alexander Yu. Sokolov

We present an efficient moment-based perturbation scheme for evaluating polarizability tensors of small molecules at a fraction of the computational cost of conventional energy-based approaches. Rather than applying explicit electric…

Chemical Physics · Physics 2026-05-26 Anoop Ajaya Kumar Nair , Julian Beßner , Timo Jacob , Elvar Örn Jónsson

The matrix element of a bound electron interacting with the nucleus through exchange of a Z boson is studied for the gauge invariant case of $2s_{1/2}-2p_{1/2}$ transitions in hydrogenic ions. The QED radiative correction to the matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Sapirstein , K. Pachucki , A. Veitia , K. T. Cheng

Free energy calculations are widely used tools in computational chemistry, but their dependence on the assignment of partial charges during force field parametrization reduces their accuracy and reproducibility. In this work, we highlight…

Electrostatic potential fitting method (ESPF) is a powerful way of defining atomic charges derived from quantum density matrices fitted to reproduce a quantum mechanical charge distribution in the presence of an external electrostatic…

Chemical Physics · Physics 2020-11-20 Miquel Huix-Rotllant , Nicolas Ferré

Atom-centered point charge model of the molecular electrostatics---a major workhorse of the atomistic biomolecular simulations---is usually parameterized by least-squares (LS) fitting of the point charge values to a reference electrostatic…

Chemical Physics · Physics 2015-10-02 Maxim V. Ivanov , Marat R. Talipov , Qadir K. Timerghazin

Recent matrix completion based methods have not been able to properly model the Haplotype Assembly Problem (HAP) for noisy observations. To cope with such a case, in this letter we propose a new Minimum Error Correction (MEC) based matrix…

Optimization and Control · Mathematics 2019-04-16 Mohamad Mahdi Mohades , Sina Majidian , Mohammad Hossein Kahaei

We develop computational methods for approximating the solution of a linear multi-term matrix equation in low rank. We follow an alternating minimization framework, where the solution is represented as a product of two matrices, and…

Numerical Analysis · Mathematics 2020-06-16 Kookjin Lee , Howard C. Elman , Catherine E. Powell , Dongeun Lee

Conventional explicit electromagnetic particle-in-cell (PIC) algorithms do not conserve discrete energy exactly. Time-centered fully implicit PIC algorithms can conserve discrete energy exactly, but may introduce large dispersion errors in…

Computational Physics · Physics 2020-02-19 Guangye Chen , Luis Chacón , Lin Yin , Brian J. Albright , David J. Stark , Robert F. Bird

The random phase approximation (RPA) is exact for the exchange energy of a many-electron ground state, but RPA makes the correlation energy too negative by about 0.5 eV/electron. That large short-range error, which tends to cancel out of…

Computational Physics · Physics 2020-06-24 Tim Gould , Adrienn Ruzsinszky , John P. Perdew

We present an accurate and efficient algorithm to calculate the electrostatic interaction of charged point particles with partially periodic boundary conditions that are confined along the nonperiodic direction by two metallic parallel…

Materials Science · Physics 2016-11-03 Samare Rostami , S. Alireza Ghasemi , Ehsan Nedaaee Oskoee

Atomic partial charges are crucial parameters in molecular dynamics (MD) simulation, dictating the electrostatic contributions to intermolecular energies, and thereby the potential energy landscape. Traditionally, the assignment of partial…

Machine Learning · Computer Science 2024-05-09 Yuanqing Wang , Iván Pulido , Kenichiro Takaba , Benjamin Kaminow , Jenke Scheen , Lily Wang , John D. Chodera

Economic Model Predictive Control (EMPC) has recently become popular because of its ability to control constrained nonlinear systems while explicitly optimizing a prescribed performance criterion. Large performance gains have been reported…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Mario Zanon

Molecule-optimized basis sets, based on approximate natural orbitals, are developed for accelerating the convergence of quantum calculations with strongly correlated (multi-referenced) electrons. We use a low-cost approximate solution of…

Chemical Physics · Physics 2014-02-12 Gergely Gidofalvi , David A. Mazziotti

The molecular electrostatic potential (MEP) is a key quantity for describing and predicting intermolecular and ion-molecule interactions. Here, we assess the ability of machine-learning (ML) models to infer the MEP, based on the equivariant…

Chemical Physics · Physics 2026-01-16 Kadri Muuga , Lisanne Knijff , Chao Zhang

This article describes Monte-Carlo algorithms for charged systems using constrained updates for the electric field. The method is generalized to treat inhomogeneous dielectric media, electrolytes via the Poisson-Boltzmann equation and…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs