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Assuming the conventional Casimir setting with two thick parallel perfectly conducting plates of large extent with a homogeneous and isotropic medium between them, we discuss the physical meaning of the electromagnetic field energy $W_{\rm…

Quantum Physics · Physics 2008-11-26 I. Brevik , K. A. Milton

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 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

We study the interaction between a neutral atom or molecule and a conductor-patched dielectric surface. We model this system by a perfectly reflecting disc lying atop of a non-dispersive dielectric half-space, both interacting with the…

Quantum Physics · Physics 2015-06-11 Claudia Eberlein , Robert Zietal

Large discrepancies have been observed between measured Electromagnetic Dissociation(ED) cross sections and the predictions of the semiclassical Weiz\"acker-Williams-Fermi(WWF) method. In this paper, the validity of the semiclassical…

Nuclear Theory · Physics 2016-09-08 C. J. Benesh , J. L. Friar

We present self-consistent numerical calculations of the electronic structure of parallel Coulomb-confined quantum wires, based on the Hohenberg-Kohn-Sham density functional theory of inhomogeneous electron systems. We find that the…

Condensed Matter · Physics 2015-06-25 Yinlong Sun , George Kirczenow

We have observed interaction effects in the differential conductance $G$ of short, disordered metal bridges in a well-controlled non-equilibrium situation, where the distribution function has a double Fermi step. A logarithmic scaling law…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Weber , R. Häussler , H. v. Löhneysen , J. Kroha

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

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

A new scheme for the computation of dispersive interactions from first principles is presented. This cost-effective approach relies on a Wannier function representation compatible with density function theory descriptions. This is an…

Materials Science · Physics 2025-02-04 Diem Thi-Xuan Dang , Dai-Nam Le , Lilia M. Woods

The Casimir force between macroscopic bodies depends strongly on their shape and orientation. To study this geometry dependence in the case of two deformed metal plates, we use a path integral quantization of the electromagnetic field which…

Statistical Mechanics · Physics 2009-11-07 Thorsten Emig , Andreas Hanke , Ramin Golestanian , Mehran Kardar

Mutual Coulomb interactions between electrons lead to a plethora of interesting physical and chemical effects, especially if those interactions involve many fluctuating electrons over large spatial scales. Here, we identify and study in…

The structure and stability of atomic and molecular systems with van der Waals (vdW) bonding are often determined by the interplay between attractive dispersion interactions and repulsive interactions caused by electron confinement. Arising…

Chemical Physics · Physics 2022-02-17 Ornella Vaccarelli , Dmitry V. Fedorov , Martin Stöhr , Alexandre Tkatchenko

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

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 investigate the van der Waals interaction between neutrons using the theory of Casimir and Polder, wherein the potential for asymptotically large separations falls off as the inverse seventh power, and compare it to the similar…

Nuclear Theory · Physics 2016-04-01 James F. Babb , Mahir S. Hussein

We calculate the long-range Vanderwaals force and the photoelectric cross section in a \nc set up. While we argue that non-commutativity effects could not be discerned for the Vanderwaals interactions, the result for the photoelectric…

High Energy Physics - Phenomenology · Physics 2007-08-13 K. Li , N. Chamoun

Interference of electronic waves undergoing Andreev reflection in diffusive conductors determines the energy profile of the conductance on the scale of the Thouless energy. A similar dependence exists in the current noise, but its behavior…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Houzet , F. Pistolesi

We obtain analytically the exact non-retarded dispersive interaction energy between an atom and a perfectly conducting disc. We consider the atom in the symmetry axis of the disc and assume the atom is predominantly polarizable in the…

High Energy Physics - Theory · Physics 2016-03-09 Reinaldo de Melo e Souza , W. J. M. Kort-Kamp , C. Sigaud , C. Farina

The electromagnetic scattering amplitude of a dielectric wedge is not known in closed form. This makes the computation of the Casimir-Polder (CP) interaction between a polarizable particle and a dielectric wedge challenging. This geometry…

Quantum Physics · Physics 2024-09-27 Thorsten Emig