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A new method to determine electron correlation energy is described. This method is based on a better representation of the potential due to interacting electrons that is obtained by specifying both the average and standard deviation. The…

Materials Science · Physics 2007-05-23 T. R. S. Prasanna

We present an information-theoretic assessment of atomic and molecular densities in the ground state and under a range of physical scenarios--excitation, confinement, and ensemblization. Comparisons across densities obtained from…

Chemical Physics · Physics 2026-05-21 Abdulrahman Y. Zamani , Kevin Carter-Fenk

It can be argued that electron correlation, as a concept, deserves the same prominence in general chemistry as molecular orbital theory. We show how it acts as Nature's "chemical glue" at both the molecular and supramolecular levels.…

Chemical Physics · Physics 2022-01-10 Jan M. L. Martin

Data analysis in modern science using extensive experimental and observational facilities, such as a gravitational wave detector, is essential in the search for novel scientific discoveries. Accordingly, various techniques and mathematical…

Instrumentation and Methods for Astrophysics · Physics 2022-06-14 Piljong Jung , Sang Hoon Oh , Young-Min Kim , Edwin J. Son , John J. Oh

A recent development in quantum chemistry has established the quantum mutual information between orbitals as a major descriptor of electronic structure. This has already facilitated remarkable improvements of numerical methods and may lead…

The electron correlation effects and Breit interaction as well as Quantum Electro-Dynamics (QED) effects were expected to have important contribution to the energy level and transition properties of heavy highly charged ions. The ground…

Quantum computing architectures require an accurate and efficient description in terms of many-electron states. Recent implementations include quantum dot arrays, where the ground state of a multi q-bit system can be altered by voltages…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 G. A. Nemnes , T. L. Mitran , A. T. Preda , I. Ghiu , M. Marciu , A. Manolescu

Many quantum chemical similarity measures have been derived and substantiated by applying concepts and quantities from information theory to the electron density. To justify the use of information theory, the electron density is usually…

Chemical Physics · Physics 2024-10-14 Guillaume Acke , Daria Van Hende , Ruben Van der Stichelen , Patrick Bultinck

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

Condensed Matter · Physics 2009-10-31 Claudia Filippi , David M. Ceperley

Using atomistic pseudopotential wave functions we calculate the electron and hole charging energies of InAs quantum dots. We find that the charging energies depend strongly on the dielectric constant epsilon_out of the surrounding material,…

Materials Science · Physics 2007-05-23 Alberto Franceschetti , Andrew Williamson , Alex Zunger

A novel quantum similarity measure (QSM) is constructed based on concepts from information theory. In an application of QSM to atoms, the new QSM and its corresponding quantum similarity index (QSI) are evaluated throughout the periodic…

Atomic Physics · Physics 2007-05-23 A. Borgoo , M. Godefroid , Paul Indelicato , F. De Proft , P. Geerlings

The last several decades have seen significant advances in the theoretical modeling of materials within the fields of solid-state physics and materials science, but many methods commonly applied to this problem struggle to capture strong…

Strongly Correlated Electrons · Physics 2025-04-07 Anna O. Schouten , Simon Ewing , David A. Mazziotti

We calculate the orbital magnetization of single and double quantum dots coupled both by Coulomb interaction and by electron tunneling. The electronic states of the quantum dots are calculated in a tight-binding model and the magnetization…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Aldea , V. Moldoveanu , M. Nita , A. Manolescu , V. Gudmundsson , B. Tanatar

Quantum mechanical many-electron calculations can predict properties of atoms, molecules and even complex materials. The employed computational methods play a quintessential role in many scientifically and technologically relevant research…

Chemical Physics · Physics 2025-10-22 Tobias Schäfer , Andreas Irmler , Alejandro Gallo , Andreas Grüneis

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 A. Bansil , D. Nissenbaum , B. Barbiellini , R. Saniz

In the present study we revisit the application of the $q$-information measures $R_q$ of R\'enyi's and $S_q$ of Tsallis' to the discussion of special features of two qubits systems. More specifically, we study the correlations between the…

Quantum Physics · Physics 2015-06-26 J. Batle , M. Casas , A. Plastino , A. R. Plastino

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

Chemical Physics · Physics 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

We present a method which computes many-electron energies and eigenfunctions by a full configuration interaction which uses a basis of atomistic tight-binding wave functions. This approach captures electron correlation as well as atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Erik Nielsen , Rajib Rahman , Richard P. Muller

We study correlation measures for complex systems. First, we investigate some recently proposed measures based on information geometry. We show that these measures can increase under local transformations as well as under discarding…

Adaptation and Self-Organizing Systems · Physics 2012-04-20 Tobias Galla , Otfried Gühne

A systematic QED treatment of electron correlation is presented for ions along the lithium isoelectronic sequence. We start with the zeroth-order approximation that accounts for a part of the electron-electron interaction by a local model…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev