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In this work we improve upon previous results on the expansion of the interaction energy of two atoms. On the one hand we prove the van der Waals-London's law, assuming that only one of the ground state eigenspaces of the atoms is…

Mathematical Physics · Physics 2019-02-19 Ioannis Anapolitanos , Mathieu Lewin , Matthias Roth

In this work the induced van der Waals interaction between a pair of neutral atoms or molecules is considered by use of a statistical mechanical method. Commonly this interaction is obtained by standard quantum mechanical perturbation…

Quantum Physics · Physics 2015-05-20 Johan S. Høye

It is well known that for the case of two neutral but electrically polarizable atoms the consideration or not of retardation effects on the dispersive van der Waals force between them leads essentially to different power laws for the…

Atomic Physics · Physics 2007-05-23 C. Farina , F. C. Santos , A. C. Tort

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 compute the conservative van-der-Waals forces between two atoms, one of which is initially excited, in the limit of identical atoms. Starting with the perturbative calculation of the interaction between two dissimilar atoms, we show that…

Quantum Physics · Physics 2021-12-08 J. Sánchez-Cánovas , M. Donaire

van der Waals interactions govern the physics of a plethora of molecular structures. It is well known that the leading term in the distance-based London expansion of the van der Waals energy for atomic and molecular dimers decays as…

Chemical Physics · Physics 2017-11-22 Mireia Via-Nadal , Mauricio Rodríguez-Mayorga , Eduard Matito

We consider a multiatomic system where the nuclei are assumed to be point charges at fixed positions. Particles interact via Coulomb potential and electrons have pseudo-relativistic kinetic energy. We prove the van der Waals-London law,…

Mathematical Physics · Physics 2022-11-16 Jean-Marie Barbaroux , Michael Hartig , Dirk Hundertmark , Semjon Vugalter

We compute the nonconservative electric dipole forces between two atoms, one of which is initially excited. These forces derive from the time variation of the longitudinal electromagnetic momentum. In contrast to the conservative…

Quantum Physics · Physics 2025-10-10 Julio Sánchez-Cánovas , Manuel Donaire

Using perturbative QED we show that, while the retarded dispersive force between an electrically polarizable atom and a magnetically polarizable one is proportional to $1/r^{8}$, where $r$ is the distance between the atoms, the non-retarded…

High Energy Physics - Theory · Physics 2007-05-23 C. Farina , F. C. Santos , A. C. Tort

We show that the usual sum of $R^{-6}$ contributions from elements separated by distance $R$ can give \emph{qualitatively} wrong results for the electromagnetically non-retarded van der Waals interaction between non-overlapping bodies. This…

Soft Condensed Matter · Physics 2009-11-11 John F. Dobson , Angela White , Angel Rubio

We consider the interatomic van der Waals interaction energy between two neutral ground-state atoms moving in the vacuum space with the same uniform acceleration. We assume the acceleration orthogonal to their separation, so that their…

Quantum Physics · Physics 2013-07-25 Antonio Noto , Roberto Passante

The van der Waals interaction between neutral atoms is typically studied using stationary perturbation theory for the short-distance (London) limit, while long-distance (Casimir-Polder) results are usually derived via semiclassical,…

Quantum Physics · Physics 2025-12-30 L. Saba , C. D. Fosco

Using a recently obtained (general) formula for the interaction energy between an excited and a ground-state atom (Sherkunov Y 2007 Phys. Rev. A 75 012705), we consider the interaction energy between two such atoms near the interface…

Quantum Physics · Physics 2008-04-10 Marin-Slobodan Tomas

The van der Waals interaction between two polarizable atoms is considered. In three dimensions the standard form with an attractive $1/|R|^6$ potential is obtained from second-order quantum perturbation theory. When the electron motion is…

Quantum Physics · Physics 2015-01-22 A. C. Ipsen , K. Splittorff

Using fourth-order perturbation theory, a general formula for the van der Waals potential of two neutral, unpolarized, ground-state atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is…

Quantum Physics · Physics 2007-05-23 Hassan Safari , Stefan Yoshi Buhmann , Dirk-Gunnar Welsch , Ho Trung Dung

Van der Waals interactions between two neutral but polarizable systems at a separation $R$ much larger than the typical size of the systems are at the core of a broad sweep of contemporary problems in settings ranging from atomic, molecular…

High Energy Physics - Phenomenology · Physics 2017-06-14 Nora Brambilla , Vladyslav Shtabovenko , Jaume Tarrús Castellà , Antonio Vairo

The van der Waals interaction between two ground-state atoms is calculated for two electrically or magnetically polarizable particles embedded in a dispersive magneto-dielectric medium. Unlike previous calculations which infer the atom-atom…

Quantum Physics · Physics 2009-11-13 S. Spagnolo , D. A. R. Dalvit , P. W. Milonni

We study single- and two-atom van der Waals interactions of ground-state atoms which are both polarizable and paramagnetizable in the presence of magneto-electric bodies within the framework of macroscopic quantum electrodynamics. Starting…

Quantum Physics · Physics 2010-01-04 Hassan Safari , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Stefan Scheel

Within the frame of macroscopic quantum electrodynamics in causal media, the van der Waals interaction between an atomic system and an arbitrary arrangement of dispersing and absorbing dielectric bodies including metals is studied. It is…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Ho Trung Dung , Dirk-Gunnar Welsch

The van der Waals-London's law, for a collection of atoms at large separation, states that their interaction energy is pairwise attractive and decays proportionally to one over their distance to the sixth. The first rigorous result in this…

Mathematical Physics · Physics 2014-10-23 Ioannis Anapolitanos
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