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We study the accuracy of analytical wave function based many-body methods derived by energy minimization of a Jastrow-Feenberg ansatz for electrons (`Fermi hypernetted chain / Euler Lagrange' approach). Approximations to avoid the…

Other Condensed Matter · Physics 2019-06-05 Martin Panholzer , Raphael Hobbiger , Helga Böhm

We analytically solve the {\it Non-Markovian} single electron spin dynamics due to hyperfine interaction with surrounding nuclei in a quantum dot. We use the equation-of-motion method assisted with a large field expansion, and find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Changxue Deng , Xuedong Hu

By extrapolating the energies of non-relativistic atoms and their ions with up to 3000 electrons within Kohn-Sham density functional theory, we find that the ionization potential remains finite and increases across a row, even as…

Materials Science · Physics 2015-05-19 Lucian A. Constantin , John C. Snyder , John P. Perdew , Kieron Burke

The venerable theory of electrokinetic phenomena rests on the hypothesis of a dilute solution of point-like ions near a weakly charged surface, whose potential relative to the bulk is of order the thermal voltage ($kT/e \approx 25$ mV at…

Fluid Dynamics · Physics 2009-09-29 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

This work presents a rigorous statistical mechanical theory of solvation free energies, specifically useful for describing the long-range nature of ions in an electrolyte solution. The theory avoids common issues with field theories by…

Statistical Mechanics · Physics 2017-12-29 David M. Rogers

We present a self-consistent kinetic theory for the electronic response of a plasma-facing dielectric solid. Based on the Poisson equation and two sets of spatially separated Boltzmann equations, one for electrons and ions in the plasma and…

Plasma Physics · Physics 2017-08-02 Franz X. Bronold , Holger Fehske

It is shown how point charges and point dipoles with finite self-energies can be accomodated into classical electrodynamics. The key idea is the introduction of constitutive relations for the electromagnetic vacuum, which actually mirrors…

Classical Physics · Physics 2007-05-23 S. M. Blinder

A kinetic approach for the evolution of ultracold neutral plasmas including interionic correlations and the treatment of ionization/excitation and recombination/deexcitation by rate equations is described in detail. To assess the…

Atomic Physics · Physics 2009-11-10 T. Pohl , T. Pattard , J. M. Rost

We study, globaly in time, the velocity distribution $f(v,t)$ of a spatially homogeneous system that models a system of electrons in a weakly ionized plasma, subjected to a constant external electric field $E$. The density $f$ satisfies a…

Plasma Physics · Physics 2009-10-30 E. Carlen , R. Esposito , J. L. Lebowitz , R. Marra , A. Rokhlenko

Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear…

Condensed Matter · Physics 2008-12-18 R. Nifosi' , S. Conti , M. P. Tosi

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

Materials Science · Physics 2009-02-07 Vinod Krishna

Dirac equation for the finite dipole potential is solved by the method of the join of the asymptotics. The formulas for the near continuum state energy term of a relativistic electron-dipole system are obtained analytically. Two cases are…

High Energy Physics - Theory · Physics 2016-09-06 V. I. Matveev , M. M. Musakhanov , D. U. Matrasulov

In this paper the effective mass approximation and k.p multi-band models, describing quantum evolution of electrons in a crystal lattice, are discussed. Electrons are assumed to move in both a periodic potential and a macroscopic one. The…

Mathematical Physics · Physics 2014-11-17 Luigi Barletti , Naoufel Ben Abdallah

Theoretical descriptions of the spectrum of electronic excitations in real metals have not yet reached a fully predictive, "first-principles" stage. In this paper we begin by presenting brief highlights of recent progress made in the…

Materials Science · Physics 2007-05-23 Adolfo G. Eguiluz , Wolf-Dieter Schoene

Within the frame of quantum dissipation theory, we develop a new hierarchical equations of motion theory, combined with the small polaron transformation. We fully investigate the electron transport of a single attractive impurity system…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 Feng Jiang , Shikuan Wang , Hang Xie , Yonghong Yan , YiJing Yan

A functional $E_{xc}[\rho(\r,\epsilon)]$ is presented, in which the exchange and correlation energy of an electron gas depends on the local density of occupied states. A simple local parametrization scheme is proposed, entirely from first…

Materials Science · Physics 2009-11-10 Jose M. Soler

The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in addition to the well known Bloch oscillations the…

Condensed Matter · Physics 2009-11-10 F. Claro , J. F. Weisz , S. Curilef

We present a method to measure the kinetic energy of electrons emitted upon ion impact via their time-of-flight. Pulsed beams of H$^{+}$, D$_2^{+}$, He$^{+}$ and Ne$^{+}$ ions with velocities between 0.4 and 3.5 a.u. are transmitted through…

Instrumentation and Detectors · Physics 2020-08-26 Svenja Lohmann , Anna Niggas , Vincent Charnay , Radek Holeňák , Daniel Primetzhofer

We study $N$-electron atoms with nuclear charge $Z$. It is well known that, in the cationic ($Z > N$) high-$Z$ region, the atom behaves as a weakly interacting system. The anionic ($Z < N$) regime, on the other hand, is characterized by an…

Atomic Physics · Physics 2017-10-20 G. Gil , A. Gonzalez

A concept of kinetic energy in quantum mechanics is analyzed. Kinetic energy is a non-zero positive value in many cases of bound states, when a wave function is a real-valued one and there are no visible motion and flux. This can be…

Chemical Physics · Physics 2009-08-07 Yuri Kornyushin