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We study a class of interacting particle systems in which $n$ signed particles move on the real line. At close range particles with the same sign repel and particles with opposite sign attract each other. The repulsion and attraction are…

Analysis of PDEs · Mathematics 2024-03-21 Patrick van Meurs

The continuous scaling of metal-oxide-semiconductor field-effect transistors (MOSFETs) has led to device geometries where charged carriers are increasingly confined to ever smaller channel cross sections. This development is associated with…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Leonard Deuschle , Jiang Cao , Alexandros Nikolaos Ziogas , Anders Winka , Alexander Maeder , Nicolas Vetsch , Mathieu Luisier

Scattering of beams of light and matter from multi-electron atomic targets is formulated in the position representation of quantum mechanics. This yields expressions for the probability amplitude, a(b), for a wide variety of processes. Here…

Quantum Physics · Physics 2015-09-09 Lev Kaplan , J. H. McGuire

Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

Strongly Correlated Electrons · Physics 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold

The formation of correlations due to collisions in an interacting nucleonic system is investigated shortly after a disturbance. Results from one-time kinetic equations are compared with the Kadanoff and Baym two-time equation with…

Nuclear Theory · Physics 2007-05-23 K. Morawetz , H. S. Köhler

The Coulomb interaction between the protons is included in the description of proton-deuteron scattering using the screening and renormalization approach in the framework of momentum-space integral equations. Two new calculational schemes…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , P. U. Sauer

The relativistic quantum mechanics of two interacting particles is considered. We first present a covariant formulation of kinematics and of reduced phase space, giving a short outline of the classical results. We then quantize the systems…

Quantum Physics · Physics 2019-02-20 Riccardo Giachetti , Emanuele Sorace

We have implemented the so called GW approximation (GWA) based on an all-electron full-potential Projector Augmented Wave (PAW) method. For the screening of the Coulomb interaction W we tested three different plasmon-pole dielectric…

Materials Science · Physics 2007-05-23 B. Arnaud , M. Alouani

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behaviors, but also brings great challenges for particle-based…

Numerical Analysis · Mathematics 2025-02-05 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

The classical Coulomb gas model has served as one of the most versatile frameworks in statistical physics, connecting a vast range of phenomena across many different areas. Nonequilibrium generalisations of this model have so far been…

Statistical Mechanics · Physics 2022-07-04 Saeed Mahdisoltani , Ramin Golestanian

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the momentum-space description of three- and four-body nuclear reactions. The necessity for the renormalization of the…

Nuclear Theory · Physics 2015-05-18 A. Deltuva

Molecular dynamics simulations, with full Coulomb interaction and self-consistent field emission, are used to examine mutual space-charge interactions between beams originating from several emitter areas, in a planar infinite diode. The…

Computational Physics · Physics 2022-06-15 Hakon Valur Haraldsson , Kristinn Torfason , Andrei Manolescu , Agust Valfells

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

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , A. Parola , L. Ziosi

We discuss the problem of gauge fixing for strongly correlated electrons coupled to quantum light, described by projected low-energy models such as those obtained within tight-binding methods. Drawing from recent results in the field of…

Strongly Correlated Electrons · Physics 2021-03-12 Olesia Dmytruk , Marco Schiró

We describe an implementation of Hedin's GW approximation for molecules and clusters, the complexity of which scales as O(N^3) with the number of atoms. Our method is guided by two strategies: i) to respect the locality of the underlying…

Other Condensed Matter · Physics 2015-05-27 Dietrich Foerster , Peter Koval , Daniel Sánchez-Portal

Quantum harmonic oscillators model a wide variety of phenomena ranging from electromagnetic fields to vibrations of atoms in molecules. Their excitations can be represented by bosons such as photons, single particles of light, or phonons,…

Quantum simulations of photoexcited low-dimensional systems are pivotal for understanding how to functionalize and integrate novel two-dimensional (2D) materials in next-generation optoelectronic devices. First principles predictions are…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Enrico Perfetto , Gianluca Stefanucci

Coulomb drag experiments in which the inter-layer resistivity is measured are important as they provide information on the Coulomb interactions in bilayer systems. When the layer densities are low correlation effects become significant to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Asgari , B. Tanatar , B. Davoudi