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The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

One of the defining properties of electrons is their mutual Coulombic repulsion. In solids, however, this basic property may change. A famous example is that of superconductors, where coupling to lattice vibrations make electrons attract…

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial…

Strongly Correlated Electrons · Physics 2011-08-23 Yongxi Zhou

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

The free energy of ion solvation can be decomposed into enthalpic and entropic contributions. This helps to understand the connection between the dielectric properties and the underlying forces. We present a simple linear-response model of…

Soft Condensed Matter · Physics 2024-06-24 Alec Wills , Anthony Mannino , Isidro Losada , Sara G. Mayo , Jose M. Soler , Marivi Fernandez-Serra

The influence of electron-electron Coulomb repulsion on nonsequential double ionization of rare-gas atoms is investigated. Several variants of the quantum-mechanical transition amplitude are evaluated that differ by the form of the…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , X. Liu , H. Schomerus , W. Becker

Recent experiments [Nature 521, 196 (2015) and Nat. Commun. 8, 395 (2017)] have presented evidence for electron pairing in a quantum dot beyond the superconducting regime. Here, we show that the impact of an attractive electron-electron…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Eric Kleinherbers , Philipp Stegmann , Jürgen König

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

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

We show that the addition spectra of semiconductor quantum dots in the presence of magnetic field can be studied through a theoretical scheme that allows an accurate and practical treatment of the single particle states and…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Massimo Rontani , Fausto Rossi , Franca Manghi , Elisa Molinari

The main objective of the present work is the development of an analytically tractable model of screened electron-electron and electron-exciton interactions in layered systems composed of two parallel semiconductor quantum wells separated…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 Henni Ouerdane

Two electrons in a quantum dot repel each other: their interaction can be characterized by a positive interaction energy. From the theory of superconductivity, we also know that mechanical vibrations of the crystal lattice can make the…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Gábor Széchenyi , András Pályi , Matthias Droth

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

Superconductivity · Physics 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky

We derive a general expression for the multipole expansion of the electro-magnetic interaction in relativistic heavy-ion collisions, which can be employed in higher-order dynamical calculations of Coulomb excitation. The interaction has…

Nuclear Theory · Physics 2009-11-07 H. Esbensen , C. A. Bertulani

Classical and quantum dynamics are important limits for the understanding of the transport characteristics of interacting electrons in nanodevices. Here we apply an intermediate semiclassical approach to investigate the dynamics of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Christoph M. Puetter , Satoru Konabe , Yasuhiro Hatsugai , Kenji Ohmori , Kenji Shiraishi

The electron kinetics in nanowire-based hot-carrier solar cells is studied, where both relaxation and extraction are considered concurrently. Our kinetics is formulated in the many-particle basis of the interacting system. Detailed…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Alex Arash Sand Kalaee , Andreas Wacker

We analyze the effect of the non-vanishing range of electron-electron repulsion on the mechanism of unconventional superconductivity. We present asymptotically exact weak-coupling results for dilute electrons in the continuum and for the 2D…

Superconductivity · Physics 2012-09-13 S. Raghu , E. Berg , A. V. Chubukov , S. A. Kivelson

Problems of self-interaction arise in both classical and quantum field theories. To understand how such problems are to be addressed in a quantum theory of the Dirac and electromagnetic fields (quantum electrodynamics), we can start by…

Quantum Physics · Physics 2024-07-01 Charles T. Sebens

The bare Coulomb interaction between two like-charges is repulsive. When these charges are immersed in an electrolyte, the thermal fluctuations of the ions turn the bare Coulomb interaction into an effective interaction between the two…

Statistical Mechanics · Physics 2023-03-15 Gabriel Tellez
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