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Related papers: The van der Waals interaction in one, two and thre…

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In addition to the conventional renormalized--coupling--constant picture, point interactions in dimension two and three are shown to model within a suitable energy range scattering on localized potentials, both attractive and repulsive.

Condensed Matter · Physics 2009-10-28 P. Exner , P. Šeba

Similar to interactions between dipoles, or van der Waals interactions, quadrupole-quadrupole interactions are interactions between quadrupoles. In this article, we study the quadrupole interactions between highly excited atoms or Rydberg…

Atomic Physics · Physics 2021-09-01 Jianing Han

A duality between an electrostatic problem in a three dimensional world and a quantum mechanical problem in a one dimensional world which allows one to obtain the ground state solution of the Schr\"odinger equation by using electrostatic…

Quantum Physics · Physics 2021-07-13 G. Gonzalez

We present a theoretical study of van der Waals interaction forces in disordered linear molecule chains. We demonstrate that the interaction energy strongly and nonmonotonously depends on the disorder correlation length. Semianalytical…

Disordered Systems and Neural Networks · Physics 2024-12-25 Yuval Mualem , Alexander N. Poddubny

Wave/Schr\"{o}dinger equations with potentials naturally originates from both the quantum physics and the study of nonlinear equations. The distractive Coulomb potential is a quantum mechanical description of distractive Coulomb force…

Analysis of PDEs · Mathematics 2024-12-04 Liang Li , Shenghao Luo , Ruipeng Shen

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

We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It is well-known that such functions arises naturally in the…

Mathematical Physics · Physics 2007-05-23 Raymond Brummelhuis , Mary Beth Ruskai , Elisabeth Werner

We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by…

patt-sol · Physics 2009-10-31 Andrey Maimistov , Boris Malomed , Anton Desyatnikov

We show that the dipole-dipole interaction between two Rydberg atoms can give rise to long range molecules. The binding potential arises from two states that converge to different separated atom asymptotes. These states interact weakly at…

Atomic Physics · Physics 2015-06-05 Martin Kiffner , Hyunwook Park , Wenhui Li , Tom F. Gallagher

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

The onset of retardation effects in atom-wall interactions is studied. It is shown that the transition range from the 1/z^3 short-range (van der Waals) interaction to the 1/z^4 long-range (Casimir) retarded interaction critically depends on…

Other Condensed Matter · Physics 2024-03-18 T. Das , C. A. Ullrich , U. D. Jentschura

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 efficiency of optical trapping of ultracold atoms depend on the atomic dynamic dipole polarizability governing the atom-field interaction. In this article, we have calculated the real and imaginary parts of the dynamic dipole…

Atomic Physics · Physics 2017-04-11 Hui Li , Jean-Francois Wyart , Olivier Dulieu , Sylvain Nascimbene , Maxence Lepers

Based on macroscopic QED in linear, causal media, we present a consistent theory for the Casimir-Polder force acting on an atom positioned near dispersing and absorbing magnetodielectric bodies. The perturbative result for the van-der-Waals…

Quantum Physics · Physics 2016-08-16 S. Y. Buhmann , Ho Trung Dung , T. Kampf , L. Knöll , D. -G. Welsch

Rydberg atoms are used in a wide range of applications due to their peculiar properties like strong dipolar and van der Waals interactions. The choice of Rydberg state has a huge impact on the strength and angular dependence of the…

Atomic Physics · Physics 2025-11-04 Karen Wadenpfuhl , C. Stuart Adams

From non-linear modification of Maxwell-Einstein theory, considered in (physics/9801031), follows modified Coulomb law for interaction between charged objects. Namely, if $(m, e)$ and $(m', e')$ are masses and charges of two objects, then…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

At long distances interactions between neutral ground state atoms can be described by the Van der Waals potential V(r) =-C6/r^6-C8/r^8 - ... . In the ultra-cold regime atom-atom scattering is dominated by s-waves phase shifts given by an…

Other Condensed Matter · Physics 2013-05-29 A. Calle Cordon , E. Ruiz Arriola

Long range electrostatic and van der Waals coefficients up to terms of order R-8 have been evaluated by the sum over states method using ab initio and time dependent density functional theory. We employ several widely used density…

Chemical Physics · Physics 2015-05-30 Jason N. Byrd , Robin Cote , John A. Montgomery

Single-electron tunneling through a zero-dimensional state in an asymmetric double-barrier resonant-tunneling structure is studied. The broadening of steps in the $I$--$V$ characteristics is found to strongly depend on the polarity of the…

Mesoscale and Nanoscale Physics · Physics 2012-07-25 J. Könemann , B. Kubala , J. König , R. J. Haug

The hydrogen atom perturbed by a constant 1-dimensional weak quadratic potential $\lambda z^2$ is solved at first-order perturbation theory using the eigenstates of the total angular momentum operator - the coupled basis. Physical…

Quantum Physics · Physics 2024-08-20 C. Santamarina Ríos , P. Rodríguez Cacheda , J. J. Saborido Silva