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General formulas for calculating the several leading long-range interactions among three identical atoms where two atoms are in identical $S$ states and the other atom is in a $P$ state are obtained using perturbation theory for the…

Atomic Physics · Physics 2016-08-16 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

We theoretically investigate the properties of highly polar diatomic molecules containing $^2S$-state transition-metal atoms. We calculate potential energy curves, permanent electric dipole moments, spectroscopic constants, and leading…

Atomic Physics · Physics 2021-02-16 Michał Śmiałkowski , Michał Tomza

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

A local approximation for dynamic polarizability leads to a nonlocal functional for the long-range dispersion interaction energy via an imaginary-frequency integral. We analyze several local polarizability approximations and argue that the…

Chemical Physics · Physics 2015-03-17 Oleg A. Vydrov , Troy Van Voorhis

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

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

Long-range exchange and correlation effects, responsible for the failure of currently used approximate density functionals in describing van der Waals forces, are taken into account explicitly after a separation of the electron-electron…

Materials Science · Physics 2009-11-11 Janos G. Angyan , Iann C. Gerber , Andreas Savin , Julien Toulouse

For the interactions between a He($2 ^3S$) atom and a He($2 ^3P$) atom for like isotopes, we report perturbation theoretic calculations using accurate variational wave functions in Hylleraas coordinates of the coefficients determining the…

Atomic Physics · Physics 2007-05-23 J. -Y. Zhang , Z. -C. Yan , D. Vrinceanu , J. F. Babb , H. R. Sadeghpour

Modeling layered intercalation compounds from first principles poses a problem, as many of their properties are determined by a subtle balance between van der Waals interactions and chemical or Madelung terms, and a good description of van…

Materials Science · Physics 2014-10-30 E. Hazrati , G. A. de Wijs , G. Brocks

The collisional shift of a transition constitutes an important systematic effect in high-precision spectroscopy. Accurate values for van der Waalsinteraction coefficients are required in order to evaluate the distance-dependent frequency…

Atomic Physics · Physics 2017-11-29 U. D. Jentschura , C. M. Adhikari

We consider long-range interactions between two alkali-metal atoms in their respective ground states. We extend the previous relativistic many-body calculations of C_6 dispersion coefficients [Phys.Rev. Lett. {\bf 82}, 3589 (1999)] to…

Atomic Physics · Physics 2009-11-10 Sergey Porsev , Andrei Derevianko

The interaction of two excited hydrogen atoms in metastable states constitutes a theoretically interesting problem because of the quasi-degenerate 2P_{1/2} levels which are removed from the 2S states only by the Lamb shift. The total…

Atomic Physics · Physics 2017-02-15 U. D. Jentschura , V. Debierre , C. M. Adhikari , A. Matveev , N. Kolachevsky

A systematic approach for the construction of a density functional for van der Waals interactions that also accounts for saturation effects is described, i.e. one that is applicable at short distances. A very efficient method to calculate…

Condensed Matter · Physics 2009-10-31 Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth , Maxime Dion

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

In a framework for long-range density-functional theory we present a unified full-field treatment of the asymptotic van der Waals interaction for atoms, molecules, surfaces, and other objects. The only input needed consists of the electron…

Condensed Matter · Physics 2009-10-31 Erika Hult , Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth

The electric dipole polarizabilities and hyperpolarizabilities for the lithium isotopes $^6$Li and $^7$Li in the ground state $2^2S$ and the excited states $2^2P$ and $3^2D$, as well as the leading resonance and dispersion long-range…

Atomic Physics · Physics 2009-06-19 Li-Yan Tang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb

Theory of long-range interactions between an atom in its ground S state and a linear molecule in a degenerate state with a non-zero projection of the electronic orbital angular momentum is presented. It is shown how the long-range…

Chemical Physics · Physics 2015-05-20 Wojciech Skomorowski , Robert Moszynski

In this paper we employ the hydrodynamic formulation of time-dependent density functional theory to obtain the van der Waal coefficients $C_{6}$ and $C_{8}$ of alkali-metal clusters of various sizes including very large clusters. Such…

Atomic and Molecular Clusters · Physics 2007-05-23 Arup Banerjee , Manoj K. Harbola

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

The electric dipole polarizabilities evaluated at imaginary frequencies for hydrogen, the alkali-metal atoms, the alkaline earth atoms, and the inert gases are tabulated along with the resulting values of the atomic static polarizabilities,…

Atomic Physics · Physics 2010-02-28 Andrei Derevianko , Sergey G. Porsev , James F. Babb