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The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are…

Quantum Gases · Physics 2018-01-09 Przemysław Kościk , Tomasz Sowiński

We formulate a set of equations that facilitate an exact numerical solution of the Kohn-Sham potential for a finite Hubbard chain with nearest neighbour hopping and arbitrary site potentials. The approach relies on a mapping of the…

Strongly Correlated Electrons · Physics 2018-10-25 Kossi Amouzouvi , Daniel Joubert

A representation of polymer self-consistent field theory equivalent to quantum density functional theory is given in terms of non-orthogonal basis sets. Molecular integrals and self-consistent equations for spherically symmetric systems…

Atomic Physics · Physics 2026-02-05 Phil A. LeMaitre , Russell B. Thompson

We determine exactly the non-retarded Casimir-Polder interaction between a neutral but polarizable particle and a perfectly reflecting sheet containing a circular hole. The calculation reveals a strong dependence of the interaction on the…

Atomic Physics · Physics 2015-03-19 Claudia Eberlein , Robert Zietal

The particles of a classical relativistic gas are supposed to move under the influence of a quasilinear (in the particle four-momenta), self-interacting force inbetween elastic, binary collisions. This force which is completely fixed by the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Winfried Zimdahl , Alexander B. Balakin

In this work, a theoretical study of phase equilibrium in mixtures of a calamitic nematic liquid crystal and hard spherical nanoparticles is presented. A mean-field thermodynamic model is used, where the interactions are considered to be…

Materials Science · Physics 2013-11-22 Ezequiel R. Soulé , Linda Reven , Alejandro D. Rey

We prove the existence of a solution to an equation governing the number density within a compact domain of a discrete particle system for a prescribed class of particle interactions taking into account the effects of the diffusion and…

Probability · Mathematics 2007-05-23 Clive G. Wells

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

Nonperturbative approximation schemes are inevitable even in weakly coupled theories if the nonequilibrium behavior of quantum fields is investigated. The two-particle irreducible (2PI) effective action formalism provides an efficient…

High Energy Physics - Phenomenology · Physics 2007-05-23 Szabolcs Borsanyi

The interaction of two electrons and two positrons in the field of two strong pulsed laser waves outside the framework of the dipole approximation (with an accuracy of relativistic corrections ) has been studied theoretically. The…

Classical Physics · Physics 2017-06-01 Stanislav Starodub , Sergei Roshchupkin , Viktor Dubov

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

Statistical Mechanics · Physics 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

The formalism of the continuum random-phase approximation theory which treats, without ap- proximations, the continuum part of the single-particle spectrum, is extended to describe charge- exchange excitations. Our approach is…

Nuclear Theory · Physics 2016-04-05 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

We present a theoretical analysis of a non-equilibrium dynamics in a model system consisting of two particles which move randomly on a plane. The two particles interact via a harmonic potential, experience their own (independent from each…

Statistical Mechanics · Physics 2023-02-16 Victor S Dotsenko , Alberto Imparato , Pascal Viot , Gleb Oshanin

We study the noise spectra of a many-level quantum dot coupled to two electron reservoirs, when interactions are taken into account only on the dot within the Hartree-Fock approximation. The dependence of the noise spectra on the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 N. Gabdank , E. A. Rothstein , O. Entin-Wohlman , A. Aharony

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We derive an equation capable of treating both the electrostatic and non-electrostatic interactions in the charged liquids. The equation derived is a complex version of the Poisson-Boltzmann equation, in which the non-electrostatic…

Soft Condensed Matter · Physics 2025-02-12 Li Wan

Experiments on trapped quantum gases can probe challenging regimes of quantum many-body dynamics, where strong interactions or non-equilibrium states prevent exact solutions. Here we present an exact result which holds even when no exact…

Quantum Gases · Physics 2016-10-19 Etienne Wamba , Axel Pelster , James R. Anglin

We investigate the resonance quadrupole-quadrupole interaction between two entangled gravitationally polarizable objects induced by a bath of fluctuating quantum gravitational fields in vacuum in the framework of linearized quantum gravity.…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Yongshun Hu , Jiawei Hu , Hongwei Yu , Puxun Wu

We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the…

Nuclear Theory · Physics 2011-05-13 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena
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