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Multicomponent systems are defined as chemical systems that require a quantum mechanical description of two or more different types of particles. Non-Born-Oppenheimer electron-nuclear interactions in molecules, electron-hole interactions in…

Chemical Physics · Physics 2015-10-21 Benjamin H. Ellis , Somil Aggarwal , Arindam Chakraborty

State-of-the-art many-body wave function techniques rely on heuristics to achieve high accuracy at an attainable cost to solve the many-body Schr\"odinger equation. By far the most common property used to assess accuracy has been the total…

Chemical Physics · Physics 2022-11-30 Shunyue Yuan , Yueqing Chang , Lucas K. Wagner

Correlation among particles in finite quantum systems leads to complex behaviour and novel states of matter. One remarkable example is predicted to occur in a semiconductor quantum dot (QD) where at vanishing density the Coulomb correlation…

The Coupled Cluster (CC) method is used to compute the electronic correlation energy in atoms and molecules and often leads to highly accurate results. However, due to its single-reference nature, standard CC in its projected form fails to…

Background: The $R$ matrix formalism of Lane and Thomas has proven to be a convenient reaction theory for solving many-coupled channel systems. The theory provides solutions to bound states, scattering states, and resonances for microscopic…

Nuclear Theory · Physics 2015-06-19 J. Grineviciute , Dean Halderson

Heavy atom compounds represent a challenge for computational chemistry, due to the need for simultaneous treatment of relativistic and correlation effects. Often such systems exhibit also strong correlation which hampers the application of…

Chemical Physics · Physics 2025-02-10 Jakub Višňák , Jan Brandejs , Mihály Máté , Lucas Visscher , Örs Legeza , Jiří Pittner

We analytically compute, in the first Born approximation for symmetric and asymmetric coplanar geometries, the triple differential cross sections for electron-impact ionization of hydrogen atom in the metastable 2S-state at both low and…

Atomic Physics · Physics 2020-11-20 M. Jakha , S. Mouslih , S. Taj , B. Manaut

The relativistic coupled-cluster (RCC) theory has been applied recently to a number of heavy molecules to determine their properties very accurately. Since it demands large computational resources, the method is often approximated to…

Atomic Physics · Physics 2020-05-12 V. S. Prasannaa , B. K. Sahoo , M. Abe , B. P. Das

A relativistic version of the effective charge model for computation of observable characteristics of multi-electron atoms and ions is developed. A complete and orthogonal Dirac hydrogen basis set, depending on one parameter -- effective…

Atomic Physics · Physics 2020-07-10 K. Dzikowski , O. D. Skoromnik , I. D. Feranchuk , N. S. Oreshkina , C. H. Keitel

Relativistic magnetic hyperfine interaction Hamiltonian based on the Douglas-Kroll-Hess (DKH) theory up to the second order is implemented within the ab initio multireference methods including spin-orbit coupling in the Molcas/OpenMolcas…

Materials Science · Physics 2023-09-19 Aleksander L. Wysocki , Kyungwha Park

We use Dirac's constraint dynamics to obtain a Hamiltonian formulation of the relativistic N-body problem in a separable two-body basis in which the particles interact pair-wise through scalar and vector interactions. The resultant N-body…

Nuclear Theory · Physics 2009-11-06 Cheuk-Yin Wong , Horace W. Crater

Atomic properties such as field shift constants, magnetic dipole and electric quadrupole hyperfine structure constants, Land\'e $g_J$ factors, and electric quadrupole moments that are described by electronic operators with different ranks…

Atomic Physics · Physics 2018-03-14 Pradeep Kumar , Cheng-Bin Li , B. K. Sahoo

Relativistic exact two-component coupled-cluster calculations of molecular sensitivity factors for nuclear Schiff moments (NSMs) are reported. We focus on molecules containing heavy nuclei, especially octupole-deformed nuclei. Analytic…

In this paper, we have studied electron correlation and Gaunt interaction effects in ionization potentials (IPs) and hyperfine constants A of 2p$^2P_{1/2}$ and 2p$^2P_{3/2}$ states along with the fine structure splitting (FSS) between them…

Atomic Physics · Physics 2011-11-23 Narendra Nath Dutta , Sonjoy Majumder

Relativistic molecular dynamics are described in ultra-high temperature and MeV energy behaviors. In strongly-coupled systems, the Coulomb electrostatic field is collected in the infinite space, and the electromagnetic fields are added in…

Applied Physics · Physics 2019-04-08 Motohiko Tanaka , Masakatsu Murakami

The development of atomic many-body methods, capable of incorporating electron correlation effects accurately, is required for isotope shift (IS) studies. In combination with precise measurements, such calculations help to extract nuclear…

Drachmann's regularization approach is implemented for floating explicitly correlated Gaussians (fECGs) and molecular systems. Earlier applications of drachmannized relativistic corrections for molecular systems were hindered due to the…

Chemical Physics · Physics 2024-06-11 Balázs Rácsai , Dávid Ferenc , Ádám Margócsy , Edit Mátyus

We employ a fully relativistic coupled-cluster theory to calculate the ground-state electric dipole polarizability and electron correlation energy of superheavy elements Cn, Nh$^+$ and Og. To assess the trend of electron correlation as…

Atomic Physics · Physics 2021-06-09 Ravi Kumar , S. Chattopadhyay , D. Angom , B. K. Mani

In this paper, we consider the Dirac-Coulomb equation for many-particles, to describe the interaction between electrons in the system having many electrons. The four-component wave function will expanding into a finite basis-set, using…

Quantum Physics · Physics 2019-12-10 Bilal K. Jasim , Ayad A. Al-Ani , Saad N. Abood

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli