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We consider the binding energy of a two-body system with a repulsive Coulomb interaction in a finite periodic volume. We define the finite-volume Coulomb potential as the usual Coulomb potential, except that the distance is defined as the…

Nuclear Theory · Physics 2023-12-01 Hang Yu , Sebastian König , Dean Lee

Coulomb integrals, i.e., matrix elements of bare or screened Coulomb interaction between one-electron orbitals, are fundamental objects in many approaches developed to tackle the challenging problem of calculating the electronic structure…

Strongly Correlated Electrons · Physics 2023-06-21 Coraline Letouzé , Guillaume Radtke , Benjamin Lenz , Christian Brouder

We have constructed a perturbation theory to treat interactions that can include the Coulomb interaction, describing a physical problem that is often encountered in nuclear physics. The Coulomb part is not treated perturbatively; the exact…

Quantum Physics · Physics 2023-05-09 Scott E. Hoffmann

Vacuum polarization corrections to the energy levels of bound electrons are calculated using a perturbative path integral formalism. We apply quantum electrodynamics in a framework which treats the strong binding nuclear field to all…

Atomic Physics · Physics 2023-09-26 Sreya Banerjee , Zoltán Harman

Crystallization of a classical two-dimensional one-component plasma (electrons interacting with the Coulomb repulsion in a uniform neutralizing positive background) is investigated with a molecular dynamics simulation. The positional and…

Strongly Correlated Electrons · Physics 2009-10-31 Satoru Muto , Hideo Aoki

We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero…

Mathematical Physics · Physics 2016-11-08 V. A. Malyshev , A. A. Zamyatin

In this work, we consider the pressure of Coulomb systems, in which particles interact via a volume-dependent potential (in particular, the Ewald potential). We confirm that the expression for virial pressure should be corrected in this…

Computational Physics · Physics 2023-09-12 A. S. Onegin , G. S. Demyanov , P. R. Levashov

The van der Waals interaction between two polarizable atoms is considered. In three dimensions the standard form with an attractive $1/|R|^6$ potential is obtained from second-order quantum perturbation theory. When the electron motion is…

Quantum Physics · Physics 2015-01-22 A. C. Ipsen , K. Splittorff

In this paper we take up the quantal two-centre problem where the Coulomb centres have arbitrary positive charges. In analogy with the symmetric case, treated in the second paper of this series of papers, we use the knowledge on the…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 N. Athavan , N. Fröman , M. Lakshmanan

With appropriate gauge transformations, field can replace electric charge in quarks. Classical quarks, in a necessary non-gauge invariant formulation, are used for illustration, bringing to the fore the limitations of the usual electric…

General Physics · Physics 2015-10-05 Harry Schiff

We present a unified framework for studying Coulomb interactions in arbitrary environments using macroscopic quantum electrodynamics on the basis of the electromagnetic Green's function. Our theory can be used to derive the Coulomb…

Quantum Physics · Physics 2020-09-03 Pablo Barcellona , Robert Bennett , Stefan Yoshi Buhmann

The scattering of two charged strongly interacting particles is described on the basis of the P-matrix approach. In the P matrix, it is proposed to isolate explicitly the background term corresponding to purely Coulomb interaction, whereby…

Nuclear Theory · Physics 2007-05-23 V. A. Babenko , N. M. Petrov

We investigate the coupling of the electromagnetic sources (charge and current densities) to the scalar and vector potentials in classical electrodynamics, using Green function techniques. As is well known, the scalar potential shows an…

Classical Physics · Physics 2015-08-17 B. J. Wundt , U. D. Jentschura

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez , Emmanuel Trizac

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez

The non linear charge transfer through a tunnel junction between two Luttinger systems is studied for repulsive, finite range interaction between electrons on the same, V_{11}, and on different,V_{12}, sides of the junction. Features of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Maura Sassetti , Bernhard Kramer

We point out that confusion sometimes arises when using a chemical potential in plasma with Coulomb interactions. The results of our consideration are applied to the discussion of nuclear reactions screening. Finally, we present a…

Plasma Physics · Physics 2015-05-13 S. I. Glazyrin , S. I. Blinnikov

Van der Waals interactions between two neutral but polarizable systems at a separation $R$ much larger than the typical size of the systems are at the core of a broad sweep of contemporary problems in settings ranging from atomic, molecular…

High Energy Physics - Phenomenology · Physics 2017-06-14 Nora Brambilla , Vladyslav Shtabovenko , Jaume Tarrús Castellà , Antonio Vairo

We determine exactly the short-distance effective potential between two "guest" charges immersed in a two-dimensional two-component charge-asymmetric plasma composed of positively ($q_1 = +1$) and negatively ($q_2 = -1/2$) charged point…

Soft Condensed Matter · Physics 2021-09-01 Lucas Varela , Gabriel Téllez

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik