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We present a linear scaling formulation for the solution of the all-electron Coulomb problem in crystalline solids. The resulting method is systematically improvable and well suited to large-scale quantum mechanical calculations in which…

Materials Science · Physics 2021-11-09 J. E. Pask , N. Sukumar , S. E. Mousavi

We study experimentally the propagation dynamics and interaction of a pair of mutually incoherent nematicons: spatial optical solitons in nematic liquid crystals. In contrast to earlier studies, we consider a bias-free liquid-crystal cell…

Pattern Formation and Solitons · Physics 2015-05-14 Yana Izdebskaya , Vlad Shvedov , Anton Desyatnikov , Yuri Kivshar , Wieslaw Krolikowski , Gaetano Assanto

A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating background is taken as framework to investigate the electron-electron interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the…

High Energy Physics - Theory · Physics 2008-11-26 Manoel M. Ferreira , Marcio S. Tavares

Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in…

Mathematical Physics · Physics 2024-03-27 Niels Benedikter , Marcello Porta , Benjamin Schlein , Robert Seiringer

Extensions of the eikonal approximation to low energy (20MeV/nucleon typically) are studied. The relation between the dynamical eikonal approximation (DEA) and the continuum-discretized coupled-channels method with the eikonal approximation…

Nuclear Theory · Physics 2014-09-25 Tokuro Fukui , Kazuyuki Ogata , Pierre Capel

The analytic structure and asymptotic behavior of channel-coupling potentials in three-body systems are investigated within the framework of the hyperspherical harmonics expansion method. The coupling between different Jacobi partitions is…

Nuclear Theory · Physics 2026-03-03 Emile Meoto , Mantile L. Lekala

We study the behavior of colloidal active particles interacting via steric repulsion in various quasi-1D geometries. We mainly focus on active particles with high P\'eclet number. We discuss 3 phenomena closely tied to those systems:…

Statistical Mechanics · Physics 2025-08-15 Šimon Pajger , František Slanina

We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction with a massive scalar quantized radiation field. We find a…

Mathematical Physics · Physics 2025-02-04 Benjamin Hinrichs , Oliver Matte

We study the three-dimensional Cauchy problem for a non-isothermal compressible nematic liquid crystal system with far-field vacuum. By deriving refined energy estimates and exploiting the coupled structure of the equations, we establish…

Analysis of PDEs · Mathematics 2025-12-30 Lin Xu , Xin Zhong

Continuum structures of three short-range interacting particles in a deformed external one-body field are investigated. We use the equivalent $d$-method employing non-integer dimension, $d$, in a spherical calculation with a…

Atomic Physics · Physics 2022-07-20 E. Garrido , E. R. Christensen , A. S. Jensen

Several nucleon-nucleon potentials, Paris, Nijmegen, Argonne, and those derived by quantum inversion, which describe the NN interaction for T-lab below 300$ MeV are extended in their range of application as NN optical models. Extensions are…

Nuclear Theory · Physics 2009-11-07 A. Funk , H. V. von Geramb , K. A. Amos

Charge-stabilized colloidal suspensions can be conveniently described by formally reducing the macroion-microion mixture to an equivalent one-component system of pseudo-particles. Within this scheme, the utility of a linear response…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

In the first part of this paper, we apply a well known discrete-to-continuum approach to a Frenkel-Kontorova-type model of an infinitely long one-dimensional chain of atoms weakly interacting with a line of fixed atoms. The rescaled model…

Mathematical Physics · Physics 2025-10-16 Dmitry Golovaty , J. Patrick Wilber

An effective pair potential for systems of uniformly charged lamellar colloids in the presence of an electrolytic solution of microscopic co- and counterions is derived. The charge distribution on the discs is expressed as a collection of…

Soft Condensed Matter · Physics 2009-10-31 D. G. Rowan , J. -P. Hansen , E. Trizac

We report state-of-the-art ab initio calculations of the potential energy curve for the $a^3\Sigma_u^+$ state of the lithium dimer conducted to achieve spectroscopic accuracy ($<$1cm$^{-1}$) without any prior adjustment to fit the…

Chemical Physics · Physics 2021-01-27 Michał Lesiuk , Monika Musiał , Robert Moszynski

We perform a global analysis of searches for the permanent electric dipole moments (EDMs) of the neutron, neutral atoms, and molecules in terms of six leptonic, semileptonic, and nonleptonic interactions involving photons, electrons, pions,…

High Energy Physics - Phenomenology · Physics 2015-06-22 Timothy Chupp , Michael Ramsey-Musolf

We study the asymptotic behavior, when $\varepsilon\to0$, of the minimizers $\{u_\varepsilon\}_{\varepsilon>0}$ for the energy \begin{equation*} E_\varepsilon(u)=\int_{\Omega}\Big(|\nabla…

Analysis of PDEs · Mathematics 2021-05-11 Dmitry Golovaty , Itai Shafrir

We use a recently proposed method [Berthier L.; Biroli G.; Bouchaud J.P.; Cipelletti L.; El Masri D.; L'Hote D.; Ladieu F.; Pierno M. Science 2005, 310, 1797.] to obtain an approximation to the 4-point dynamic correlation function from…

Soft Condensed Matter · Physics 2009-08-27 D. Fragiadakis , R. Casalini , C. M. Roland

We report variational and diffusion Quantum Monte Carlo ground-state energies of the three-dimensional electron gas using a model periodic Coulomb interaction and backflow corrections for N=54, 102, 178, and 226 electrons. We remove…

Materials Science · Physics 2010-01-28 I. G. Gurtubay , R. Gaudoin , J. M. Pitarke