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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

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 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

We consider the the van der Waals force involving excited atoms in general environments, constituted by magnetodielectric bodies. We develop a dynamical approach studying the dynamics of the atoms and the field, mutually coupled. When only…

Quantum Physics · Physics 2017-02-24 Pablo Barcellona , Roberto Passante , Lucia Rizzuto , Stefan Yoshi Buhmann

We prove van der Waals - London's law of decay of the van der Waals force for a collection of neutral atoms at large separation.

Mathematical Physics · Physics 2013-08-27 Ioannis Anapolitanos , Israel Michael Sigal

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

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 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

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

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

Based on a microscopic model, we use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. Each atom is coupled to the electromagnetic (EM) field via a dipole term, generated by an electron…

Quantum Physics · Physics 2023-07-19 C. D. Fosco , G. Hansen

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

We study theoretically the van der Waals interaction between two atoms out of equilibrium with isotropic electromagnetic field. We demonstrate that at large interatomic separations, the van der Waals forces are resonant, spatially…

Quantum Physics · Physics 2018-05-09 Yury Sherkunov

We have computed the widely neglected first-order interaction between neutral atoms. At interatomic separations typical of condensed media, it is nearly equal to the 1/r^6 second-order London energy inferred from interactions in gasses. Our…

Biomolecules · Quantitative Biology 2007-07-01 Kevin Cahill , V. Adrian Parsegian

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

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

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

The van der Waals potential of two atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is studied. Starting from a polarizable atom placed within a given geometry, its interaction with a…

Quantum Physics · Physics 2007-09-11 Stefan Yoshi Buhmann , Hassan Safari , Ho Trung Dung , Dirk-Gunnar Welsch

We obtained new nonrelativistic expression for the dynamical van der Waals atom -surface interaction energy of very convenient form for different applications. It is shown that classical result (Ferrell and Ritchie, 1980) holds only for a…

Other Condensed Matter · Physics 2011-08-10 G. V. Dedkov , A. A. Kyasov
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