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Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

There are different ways to obtain an exact one-electron theory for a many-electron system, and the exact electron factorization (EEF) is one of them. In the EEF, the Schr\"odinger equation for one electron in the environment of other…

Chemical Physics · Physics 2022-04-06 Jakub Kocák , Eli Kraisler , Axel Schild

The Schr\"odinger equation is solved for the wave function of an electron moving in a superposition of external constant and uniform electric and magnetic fields at an arbitrary angle between the field directions. The changing of the…

Quantum Physics · Physics 2017-02-10 S. O. Lebedynskyi , V. I. Miroshnichenko , R. I. Kholodov , V. A. Baturin

We consider the effect of electron correlations on tunneling from a 2D electron layer in a magnetic field parallel to the layer. A tunneling electron can exchange its momentum with other electrons, which leads to an exponential increase of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. I. Dykman , T. Sharpee , P. M. Platzman

We consider the role of the third dimension in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Levanda , V. Fleurov

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 A. A. Vasilchenko

We present and discuss some ideas concerning an ``average-pair-density functional theory'', in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

We investigate the dynamics of a charged particle interacting with a multimode quantized electromagnetic field and obtain an analytic solution for the full electron--field system. This framework enables the calculation of position…

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

We study theoretically the simultaneous, photo-induced two-particle excitations of strongly correlated systems on the basis of the Hubbard model. Under certain conditions specified in this work, the corre- sponding transition probability is…

Strongly Correlated Electrons · Physics 2015-05-18 B. D. Napitu , J. Berakdar

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

In this work the root to macroscopic quantum effects is revealed based on the quasiparticle model of collective excitations in an arbitrary degenerate electron gas. The $N$-electron quantum system is considered as $N$ streams coupled,…

Quantum Physics · Physics 2023-11-17 M. Akbari-Moghanjoughi

We discuss the effect of an external electric field on the wetting of a solid surface by liquid. To this end, we use a model of the two-level-atom fluid for which the changes in interatomic interactions due to the presence of the field can…

Soft Condensed Matter · Physics 2017-02-20 Vasyl Myhal , Oleg Derzhko

An approximate analytic solution for the ground electron state are found to the Schroedinger equation for a combination of a uniform magnetic field and single attractive delta-potential. Effect of the magnetic field on this bound localized…

Quantum Physics · Physics 2007-05-23 F. Kh. Chibirova , V. R. Khalilov

The ionization of a one-dimensional model Helium atom in short laser pulses using time-dependent density functional theory is investigated. We calculate ionization probabilities as a function of laser intensity by approximating the…

Atomic Physics · Physics 2009-11-13 F. Wilken , D. Bauer

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

The phenomenon of electrowetting, i.e., the dependence of the macroscopic contact angle of a fluid on the electrostatic potential of the substrate, is analyzed in terms of the density functional theory of wetting. It is shown that…

Soft Condensed Matter · Physics 2014-05-07 Markus Bier , Ingrid Ibagon

A curious behavior of electron correlation energy is explored. Namely, the correlation energy is the energy that tends to drive the system toward that of the uniform electron gas. As such, the energy assumes its maximum value when a…

Materials Science · Physics 2019-12-17 Teepanis Chachiyo , Hathaithip Chachiyo

We propose to quantify the "correlation" inherent in a many-electron (or many-fermion) wavefunction by comparing it to the unique uncorrelated state that has the same single-particle density operator as it does.

Quantum Physics · Physics 2009-11-11 Alex D. Gottlieb , Norbert J. Mauser