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It was recently shown that the exact factorization of the electron-nuclear wavefunction allows the construction of a Schr\"odinger equation for the electronic system, in which the potential contains exactly the effect of coupling to the…

Atomic and Molecular Clusters · Physics 2016-01-20 Elham Khosravi , Ali Abedi , Neepa T. Maitra

The field-theoretic wavefunction has received renewed attention with the goal of better understanding observables at the boundary of de Sitter spacetime and studying the interior of Minkowski or general FLRW spacetime. Understanding the…

High Energy Physics - Theory · Physics 2024-04-22 Mang Hei Gordon Lee

In Green's function theory, the total energy of an interacting many-electron system can be expressed in a variational form using the Klein or Luttinger-Ward functionals. Green's function theory also naturally addresses the case where the…

Materials Science · Physics 2025-08-26 Andrea Ferretti , Tommaso Chiarotti , Nicola Marzari

In this work we present a new method for basis set generation for electronic structure calculations of crystalline solids. This procedure is aimed at applications to Density Functional Theory (DFT). In this construction, Energy Window…

Materials Science · Physics 2025-07-16 Garry Goldstein

In this work we investigate the Wigner localization of two interacting electrons at very low density in two and three dimensions using the exact diagonalization of the many-body Hamiltonian. We use our recently developed method based on…

Strongly Correlated Electrons · Physics 2021-10-13 Miguel Escobar Azor , Estefania Alves , Stefano Evangelisti , J. Arjan Berger

As well known, an electron will produce radiative reaction force when the electron emits electromagnetism radiation. The electron radiative effect had not been considered in Schr\"{o}dinger wave equation. In this paper, we give the…

Quantum Physics · Physics 2010-03-02 Xiang-Yao Wu , Xiao-Jing Liu , Bai-Jun Zhang , Yi-Heng Wu

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew

The propagation of electromagnetic waves through disordered layered system is considered in the paradigm of Maxwell's equations homogenization. In spite of the impossibility to describe the system in terms of effective dielectric…

Classical Physics · Physics 2019-01-23 Alexander M. Merzlikin , Roman S. Puzko

This article generalizes the notion of the local density of a many-body system to introduce collective coordinates as explicit degrees of freedom. It is shown that the energy of the system can be expressed as a functional of this object.…

Nuclear Theory · Physics 2014-04-23 Thomas Lesinski

We present first-principles many-body perturbation theory calculations of the quasiparticle electronic structure and of the optical response of HfO$_2$ polymorphs. We use the $GW$ approximation including core electrons by the projector…

Materials Science · Physics 2018-11-14 Benoît Sklénard , Alberto Dragoni , François Triozon , Valerio Olevano

The interaction between freely propagating electrons and light waves is typically described using an approximation in which we assume that the electron velocity remains approximately the same during the interaction. In this article we…

Quantum Physics · Physics 2025-03-06 Marek Kuchař , Kamila Moriová , Martin Kozák

We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential.…

Atomic Physics · Physics 2008-06-02 Zbigniew Idziaszek , Grzegorz Karwasz

A technique is developed which allows for the detailed mapping of the electronic wave function in two-dimensional electron gases with low-temperature mobilities up to 15E6 cm^2/Vs. Thin ("delta") layers of aluminium are placed into the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Christian Reichl , Werner Dietsche , Thomas Tschirky , Timo Hyart , Werner Wegscheider

A one-electron Schroedinger equation based on special one-electron potentials for atoms is shown to exist that produces orbitals for an arbitrary molecule that are sufficiently accurate to be used without modification to construct single-…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

With the eigenfunctional theory, we study a general interacting electron system, and give a rigorous expression of its ground state energy which is composed of two parts, one part is contributed by the non-interacting electrons, and another…

Materials Science · Physics 2007-12-07 Yu-Liang Liu

EPW (Electron-Phonon coupling using Wannier functions) is a program written in FORTRAN90 for calculating the electron-phonon coupling in periodic systems using density-functional perturbation theory and maximally-localized Wannier…

Other Condensed Matter · Physics 2015-05-19 Jesse Noffsinger , Feliciano Giustino , Brad D. Malone , Cheol-Hwan Park , Steven G. Louie , Marvin L. Cohen

We study the spectral properties of a system of electrons interacting through long-range Coulomb potential on a one-dimensional chain. When the interactions dominate over the electronic bandwidth, the charges arrange in an ordered…

Strongly Correlated Electrons · Physics 2009-11-13 S. Fratini , G. Rastelli

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

Materials Science · Physics 2013-04-03 Eli Kraisler , Leeor Kronik

The Lieb-Oxford bound, a nontrivial inequality for the indirect part of the many-body Coulomb repulsion in an electronic system, plays an important role in the construction of approximations in density functional theory. Using the…

Chemical Physics · Physics 2016-05-04 Michael Seidl , Stefan Vuckovic , Paola Gori-Giorgi

Using the example of the Davydov soliton - a large acoustic polaron in one dimension - we demonstrate that the electron wave function can be fissioned in two or more long-lived, well-localized and spatially arbitrarily far separated…

Condensed Matter · Physics 2007-05-23 Eugene B. Kolomeisky , T. J. Newman , J. P. Straley