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We propose a new approach to the Casimir effect based on classical ray optics. We define and compute the contribution of classical optical paths to the Casimir force between rigid bodies. We reproduce the standard result for parallel plates…

Quantum Physics · Physics 2008-11-26 R. L. Jaffe , A. Scardicchio

The Casimir effect for photons and Dirac fermion fields, and its generalization to $(D+1)$-dimensional spacetime in the continuum, is studied. We implement MIT bag boundary conditions on the lattice by treating the system as a confined…

High Energy Physics - Lattice · Physics 2026-04-01 Yash V. Mandlecha

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

Quantum Physics · Physics 2009-11-07 M. S. Tomas

Casimir energy is calculated in the 5D warped system. It is compared with the flat one. The position/ momentum propagator is exploited. A new regularization, called {\it sphere lattice regularization}, is introduced. It is a direct…

High Energy Physics - Theory · Physics 2008-11-26 Shoichi Ichinose

The non-retarded Casimir interaction (van der Waals interaction) between two free standing graphene sheets as well as between a graphene sheet and a substrate is determined. An exact analytical expression is given for the dielectric…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Bo E. Sernelius

The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an induced interaction between external bodies in a…

Quantum Gases · Physics 2019-05-16 Benjamin Reichert , Zoran Ristivojevic , Aleksandra Petkovic

The Casimir energy of an infinite compact cylinder placed in a uniform unbounded medium is investigated under the continuity condition for the light velocity when crossing the interface. As a characteristic parameter in the problem the…

High Energy Physics - Theory · Physics 2016-08-25 V. V. Nesterenko , I. G. Pirozhenko

We consider the Casimir-Polder interaction energy between a metallic nanoparticle and a metallic plate, as well as the Casimir interaction energy between two macroscopic metal plates, in terms of the many-body dispersion interactions…

Quantum Physics · Physics 2015-03-10 Pablo Barcellona , Roberto Passante

Metamaterials are fascinating tools that can structure not only surface plasmons and electromagnetic waves but also electromagnetic vacuum fluctuations. The possibility of shaping the quantum vacuum is a powerful concept that ultimately…

Using nonstandard recursion relations for Fresnel coefficients involving successive stacks of layers, we extend the Lifshitz formula to configurations with an inhomogeneous, n-layered, medium separating two planar objects. The force on each…

Quantum Physics · Physics 2014-01-28 Marin-Slobodan Tomas

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash

In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we…

High Energy Physics - Theory · Physics 2007-05-23 M. R. Setare , R. Mansouri

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

We compute an analog Casimir effect in a one-dimensional spinless Luttinger liquid confined to a segment in the presence of a nearly-impenetrable partition dividing the segment into two compartments. The Casimir interaction is found to be a…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Eugene B. Kolomeisky , Joseph P. Straley , Michael Timmins

On the basis of macroscopic quantum electrodynamics and point-scattering techniques, we derive a closed expression for the Casimir-Polder force between a ground-state atom and a small magnetodielectric sphere in an arbitrary environment. In…

Quantum Physics · Physics 2010-02-18 Agnes Sambale , Stefan Yoshi Buhmann , Stefan Scheel

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices.…

Quantum Physics · Physics 2011-06-20 Mohammad F. Maghrebi , Noah Graham

The attractive Casimir force acting on a micrometer-sphere suspended in a spherical dip, close to the wall, is discussed. This setup is in principle directly accessible to experiment. The sphere and the substrate are assumed to be made of…

Quantum Physics · Physics 2009-01-14 I. Brevik , E. K. Dahl , G. O. Myhr

Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, deformation of a…

High Energy Physics - Theory · Physics 2009-11-13 H. Ahmedov , I. H. Duru

We study nano-sized spherically symmetric plasma structures which are radial nonlinear oscillations of electrons in plasma. The effective interaction of these plasmoids via quantum exchange forces between ions is described. We calculate the…

Plasma Physics · Physics 2012-09-11 Maxim Dvornikov

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , Seth T. Rittenhouse , N. P. Mehta , Chris H. Greene