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In this work we provide a non-perturbative solution to the theoretical problem of extracting scattering amplitudes from Euclidean correlators in infinite volume. We work within the solid axiomatic framework of the Haag-Ruelle scattering…

High Energy Physics - Lattice · Physics 2024-07-03 Agostino Patella , Nazario Tantalo

This work is the first attempt to treat partial differential equations with discrete (concentrated) state-dependent delay. The main idea is to approximate the discrete delay term by a sequence of distributed delay terms (all with…

Dynamical Systems · Mathematics 2009-04-18 Alexander V. Rezounenko

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.…

The solution of Dirac's equation for the hydrogen atom according to relativistic wave mechanics yields for each state a vectorial amplitude function with four components, two large and two small. Each such component has its characteristic…

General Physics · Physics 2020-06-29 J. F. Ogilvie

The 1%-accurate calculations of the van der Waals interaction between an atom and a cavity wall are performed in the separation region from 3 nm to 150 nm. The cases of metastable He${}^{\ast}$ and Na atoms near the metal, semiconductor or…

Quantum Physics · Physics 2009-11-11 A. O. Caride , G. L. Klimchitskaya , V. M. Mostepanenko , S. I. Zanette

A convenient scheme is presented for calculating potential energy of van der Waals interacting bilayer graphene and other similar 2D compounds. It is based on the notion of the existence of two types of local symmetry of carbon atoms…

Mesoscale and Nanoscale Physics · Physics 2020-04-27 Zbigniew Kozioł

In this work we investigate 1+2 reactions within the framework of the hyperspherical adiabatic expansion method. To this aim two integral relations, derived from the Kohn variational principle, are used. A detailed derivation of these…

Atomic and Molecular Clusters · Physics 2012-04-03 C. Romero-Redondo , E. Garrido , P. Barletta , A. Kievsky , M. Viviani

The hydrogen molecules $H_2$ and $(H_2)_2$ are analyzed with electronic correlations taken into account between the $1s$ electrons exactly. The optimal single-particle Slater orbitals are evaluated in the correlated state of $H_2$ by…

Strongly Correlated Electrons · Physics 2015-02-03 Andrzej P. Kądzielawa , Agata Bielas , Marcello Acquarone , Andrzej Biborski , Maciej M. Maśka , Józef Spałek

We present a dynamic van der Waals theory. It is useful to study phase separation when the temperature varies in space. We show that if heat flow is applied to liquid suspending a gas droplet at zero gravity, a convective flow occurs such…

Soft Condensed Matter · Physics 2009-11-11 Akira Onuki

We analyze the properties of a generic cosmological fluid described by the van der Waals equation of state. Exact solutions for the energy density evolution are found as implicit functions of the scale factor for a flat…

General Relativity and Quantum Cosmology · Physics 2016-02-11 Rudinei C. S. Jantsch , Marcus H. B. Christmann , Gilberto M. Kremer

Highly polarizable metastable He* ($\mathrm{2^3S}$) and Ne* ($\mathrm{2^3P}$) atoms have been diffracted from a 100 nm period silicon nitride transmission grating and the van der Waals coefficients $C_3$ for the interaction of the excited…

In this paper we employ two distinct approaches - all-electron \textit{ab initio} method and the spherical jellium background model- within time dependent density functional theory to calculate the long range dipole-dipole dispersion…

Atomic and Molecular Clusters · Physics 2008-01-10 Arup Banerjee , Manoj K. Harbola

We present an approach for computing long-range van der Waals (vdW) interactions between complex molecular systems and arbitrarily shaped macroscopic bodies, melding atomistic treatments of electronic fluctuations based on density…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Prashanth S. Venkataram , Jan Hermann , Alexandre Tkatchenko , Alejandro W. Rodriguez

The current attempt is aimed to honor the first centennial of Johannes Diderik van der Waals (VDW) awarding Nobel Prize in Physics. The VDW theory of ordinary fluids is reviewed in the first part of the paper, where special effort is…

Classical Physics · Physics 2019-11-05 R. Caimmi

It is shown that the single-particle spin-orbit coupling terms, which---in the cold atom context---are associated with synthetic gauge fields, can significantly and non-trivially modify the phase accumulation at small interparticle…

Quantum Gases · Physics 2017-03-01 Q. Guan , D. Blume

Dipolar relaxation happens when one or both colliding atoms flip their spins exothermically inside a magnetic ($B$) field. This work reports precise measurements of dipolar relaxation in a Bose-Einstein condensate of ground state $^{87}$Rb…

Quantum Gases · Physics 2021-01-28 Yuan-Gang Deng , Yi-Quan Zou , Gao-Ren Wang , Qi Liu , Su Yi , Meng Khoon Tey , Li You

We address the problem of describing the coexistence state of two different black holes and Van der Waals like phase transition in Reissner-Nordstr\"om-AdS space-time. We start by a small charged black hole, then introduce a collapsing…

High Energy Physics - Theory · Physics 2018-07-04 Hao Xu

The N=2 supersymmetric extension of the Schr\"odinger-Hamiltonian with 1/r-potential in d dimension is constructed. The system admits a supersymmetrized Laplace-Runge-Lenz vector which extends the rotational SO(d) symmetry to a hidden…

High Energy Physics - Theory · Physics 2008-11-26 A. Wipf , A. Kirchberg , J. D. Länge

We argue that recently proposed [Melnyk et al., Fluid Phase Equilibr., 2009, Vol. 279, 1] a criterion to split the pair interaction energy into two parts, one of which is forced to be responsible the most accurate as possible for excluded…

Soft Condensed Matter · Physics 2015-04-06 A. Trokhymchuk , R. Melnyk , I. Nezbeda

Positronium (Ps) scattering by noble-gas atoms (He, Ne, Ar, Kr, and Xe) is studied in the frozen-target approximation and with inclusion of the van der Waals interaction. Single-particle electron and positron states in the field of the…

Atomic Physics · Physics 2018-01-23 A. R. Swann , G. F. Gribakin