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We present a detailed derivation of the renormalization group equations for two dimensional electromagnetic Coulomb gases whose charges lie on a triangular lattice (magnetic charges) and its dual (electric charges). The interactions between…

Statistical Mechanics · Physics 2009-11-13 David Carpentier , Pierre Le Doussal

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study…

Chemical Physics · Physics 2015-06-26 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

We develop a non-equilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in…

Quantum Physics · Physics 2007-05-23 G. Plunien , T. Beier , G. Soff , H. Persson

We show that a difference in time scales of vertical and lateral dynamics permits one to analyze the problem of interacting electrons confined in an axially symmetric three-dimensional potential with a lateral oscillator confinement by…

Mesoscale and Nanoscale Physics · Physics 2008-09-26 N. S. Simonovic , R. G. Nazmitdinov

We propose a general approach to reducing basis set incompleteness error in electron correlation energy calculations. The correction is computed alongside the correlation energy in a single calculation by modifying the electron interaction…

We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum…

Classical Physics · Physics 2019-05-22 Patricio Gaete , José A. Helayël-Neto , L. P. R. Ospedal

We extend the class of QM problems which permit for quasi-exact solutions. Specifically, we consider planar motion of two interacting charges in a constant uniform magnetic field. While Turbiner and Escobar-Ruiz (2013) addressed the case of…

Quantum Physics · Physics 2016-02-18 Michael Kreshchuk

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l=n-1). The result is obtained in a closed…

Atomic Physics · Physics 2009-11-11 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov

The Hamiltonian of the spinless relativistic Coulomb problem combines the standard Coulomb interaction potential with the square-root operator of relativistic kinematics. This Hamiltonian is known to be bounded from below up to some…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wolfgang Lucha , Franz F. Schöberl

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

We examine the accuracy of an intrinsically one-dimensional quantum electrodynamics to predict accurately the forces and charges of a three-dimensional system that has a high degree of symmetry and therefore depends effectively only on a…

Atomic Physics · Physics 2015-12-09 Q. Z. Lv , N. D. Christensen , Q. Su , R. Grobe

In present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a…

Nuclear Theory · Physics 2021-06-23 Peng Guo

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate non-perturbatively Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

New polarization potentials have been determined based on: 1) the latest photo-neutron cross section evaluation and a missing factor of two in previous work, and 2) the mass dependency of the symmetry energy, $a_{sym}(A)$. The magnitude of…

Nuclear Experiment · Physics 2016-03-03 Nico Orce

The mechanisms of electrostatic interactions between two charged dielectric spheres inside a polarizable medium have been investigated, in terms of hypothetical effective dipoles that depict how the positive and negative charge in each…

Soft Condensed Matter · Physics 2025-02-06 Yanyu Duan , Zecheng Gan , Ho-Kei Chan

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

The formal expression for the most general polarization observable in elastic electromagnetic lepton hadron scattering at low energies is derived for the nonrelativistic regime. For the explicit evaluation the influence of Coulomb…

Nuclear Theory · Physics 2015-05-27 Hartmuth Arenhövel

The all-order correlation potential method of accurate atomic structure calculations for atoms with one external electron is extended to include one more class of correlation diagrams to all orders. These are the so-called ladder diagrams…

Atomic Physics · Physics 2010-09-20 V. A. Dzuba