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A formula for the cross section and event rate constant describing recombination of N particles are derived in terms of general S-matrix elements. Our result immediately yields the generalized Wigner threshold scaling for the recombination…

Atomic Physics · Physics 2013-05-29 N. P. Mehta , Seth T. Rittenhouse , J. P. D'Incao , J. von Stecher , Chris H. Greene

We establish the well-posedness of the transient van Roosbroeck system in three space dimensions under realistic assumptions on the data: non-smooth domains, discontinuous coefficient functions and mixed boundary conditions. Moreover,…

Analysis of PDEs · Mathematics 2018-05-04 Karoline Disser , Joachim Rehberg

Although the precise microscopic knowledge of van der Waals interactions is crucial for understanding bonding in weakly bonded layered compounds, very little quantitative information on the strength of interlayer interaction in these…

Materials Science · Physics 2012-06-08 T. Björkman , A. Gulans , A. V. Krasheninnikov , R. M. Nieminen

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

We propose a second version of the van der Waals density functional (vdW-DF2) of Dion et al. [Phys. Rev. Lett. 92, 246401 (2004)], employing a more accurate semilocal exchange functional and the use of a large-N asymptote gradient…

Materials Science · Physics 2010-08-17 Kyuho Lee , Éamonn D. Murray , Lingzhu Kong , Bengt I. Lundqvist , David C. Langreth

We introduce a class of variational wavefunctions that capture the long-range interaction between neutral systems (atoms and molecules) without changing the diagonal of the density matrix of each monomer. The corresponding energy…

Chemical Physics · Physics 2019-03-26 Derk P. Kooi , Paola Gori-Giorgi

We introduce a quantification of genuine three-party pure-state coherence for wave fields, classical and quantum, by borrowing concepts from classical optics. The tensor structure of a classical paraxial light beam composed of three…

Quantum Physics · Physics 2020-12-25 X. -F. Qian , S. A. Wadood , A. N. Vamivakas , J. H. Eberly

The van der Waals (vdW) interaction plays a prominent role between neutral objects at separations where short ranged chemical forces are negligible. This type of dispersive coupling is determined by the interplay between geometry and…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 Dai-Nam Le , Pablo Rodriguez-Lopez , Lilia M. Woods

The elastic collision between two H-like atoms utilizing an ab-initio static-exchange model (SEM) in the center of mass (CM) frame considering the system as a four-body Coulomb problem where all the Coulomb interaction terms in the direct…

Atomic Physics · Physics 2023-07-19 Hasi Ray

The long-range electrostatic interactions between molecules depend strongly on their relative orientation, which manifests as a rotational state dependence. Interactions between molecules in the same rotational quantum state are well-known…

Atomic Physics · Physics 2024-05-16 Etienne F. Walraven , Tijs Karman

The structure of liquid water at ambient conditions is studied in ab initio molecular dynamics simulations using van der Waals (vdW) density-functional theory, i.e. using the new exchange-correlation functionals optPBE-vdW and vdW-DF2.…

We show that the quantum wavefunctional can be seen as a set of classical fields on the 3D space aggregated by a measure. We obtain a complete description of the wavefunctional in terms of classical local beables. With this correspondence,…

Quantum Physics · Physics 2023-06-28 Ovidiu Cristinel Stoica

Path-integral molecular dynamics simulations based on density functional theory employing exchange-correlation density functionals capable of treating nonlocal van der Waals (vdW) interactions self-consistently provide a remarkably accurate…

Chemical Physics · Physics 2014-02-13 Jeffrey M. McMahon , Miguel A. Morales , Brian Kolb , Timo Thonhauser

The cohesive energy, equilibrium lattice constant, and bulk modulus of noble metals are computed by different van der Waals-corrected Density Functional Theory methods, including vdW-DF, vdW-DF2, vdW-DF-cx, rVV10 and PBE-D. Two…

Chemical Physics · Physics 2016-07-27 Alberto Ambrosetti , Pier Luigi Silvestrelli

Multilayered van der Waals structures often lack periodicity, which difficults their modeling. Building on previous work for bilayers, we develop a tight-binding based, momentum space formalism capable of describing incommensurate…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 B. Amorim , Eduardo V. Castro

Van der Waals (vdW) interactions are essential for describing molecules and materials, from drug design and catalysis to battery applications. These omnipresent interactions must also be accurately included in machine-learned force fields.…

Chemical Physics · Physics 2026-02-26 Evgeny Moerman , Adil Kabylda , Almaz Khabibrakhmanov , Alexandre Tkatchenko

Van der Waals forces as interactions between neutral and polarisable particles act at small distances between two objects. Their theoretical origin lies in the electromagnetic interaction between induced dipole moments caused by the vacuum…

Chemical Physics · Physics 2019-06-05 Johannes Fiedler , Clas Persson , Mathias Boström , Stefan Y. Buhmann

Van der Waals potentials describing interactions between color-singlet mesons and/or baryons vanish at leading order in potential nonrelativistic quantum chromodynamics (pNRQCD). This result and constraints from Gauss's law are used to…

High Energy Physics - Phenomenology · Physics 2026-01-21 Benoît Assi , Anthony Grebe , Michael Wagman

This contribution briefly reviews some recent work demonstrating the partial breakdown of the colloidal fluid <--> atomic fluid analogy. The success of liquid state theory for atomic fluids stems in part from the van der Waals picture,…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis

Students encounter harmonic-oscillator models in many aspects of basic physics, within widely-varying theoretical contexts. Here we highlight the interconnections and varying points of view. We start with the classical mechanics of masses…

General Physics · Physics 2018-04-24 Timothy H. Boyer