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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 investigate the influence of the appearance of excitonic states on van der Waals interactions among two Rydberg atoms. The atoms are assumed to be in different Rydberg states, e.g., in the $|ns\rangle$ and $|np\rangle$ states. The…

Atomic Physics · Physics 2015-08-12 Hashem Zoubi

We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants…

Quantum Physics · Physics 2011-08-05 T. C. Choy

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

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

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

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

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

The van der Waals coefficients, from C_11 through to C_16 resulting from 2nd, 3rd and 4th order perturbation theory are estimated for the alkali (Li, Na, K and Rb) atoms. The dispersion coefficients are also computed for all possible…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley

We derive solutions of the Schr\"{o}dinger equation for the isotropic van der Waals interaction in a symmetric harmonic trap, with the recent approach [arXiv:2207.09377 (2022)] to handle the multi-scale long-range potential. Asymptotic…

Atomic Physics · Physics 2024-11-11 Ruijie Du

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

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

We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive $\delta'$ interaction supported by a smooth surface in $\R^3$, either infinite and asymptotically planar, or compact and closed. Its second term is…

Mathematical Physics · Physics 2019-12-10 Pavel Exner , Michal jex

Dispersion interactions such as the van der Waals interaction between atoms or molecules derive from quantum fluctuations of the electromagnetic field and can be understood as the exchange of virtual photons between the interacting…

Quantum Physics · Physics 2015-06-11 Harald R. Haakh , Stefan Scheel

We present semiempirical calculations of long-range van der Waals interactions for two interacting metastable rare-gas atoms Ne through Xe. Dispersion coefficients $C_6$ are obtained for homonuclear molecular potentials asymptotically…

Atomic Physics · Physics 2009-11-06 A. Derevianko , A. Dalgarno

On the basis of a general formula obtained earlier via fourth-order erturbation theory within the framework of macroscopic quantum electrodynamics, the van der Waals potential between two neutral, unpolarized, ground-state atoms in the…

Quantum Physics · Physics 2008-08-14 Hassan Safari , Dirk-Gunnar Welsch , Ho Trung Dung , Stefan Yoshi Buhmann

We calculate the van der Waals dispersive interaction between a neutral but polarizable atom and a perfectly conducting isolated sphere in the nonretarded case. We make use of two separate models, one being the semiclassical…

Quantum Physics · Physics 2009-03-13 M. M. Taddei , T. N. C. Mendes , C. Farina

The van der Waals atom-surface attraction, scaling as C3 z-3 for z the atom-surface distance, is expected to be valid in the distance range 1-1000 nm, covering 8-10 orders of magnitudes in the interaction energy. A Cs vapour nanocell allows…

We present experimental results on the controlled de-excitation of Rydberg states in a cold gas of Rb atoms. The effect of the van der Waals interactions between the Rydberg atoms is clearly seen in the de-excitation spectrum and dynamics.…

Atomic Physics · Physics 2017-10-18 C. Simonelli , M. Archimi , L. Asteria , D. Capecchi , G. Masella , E. Arimondo , D. Ciampini , O. Morsch
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