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This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.

General Relativity and Quantum Cosmology · Physics 2010-09-03 Rolando Gaitan

In this paper the Casimir energy of two parallel plates made by materials of different penetration depth and no medium in between is derived. We study the Casimir force density and derive analytical constraints on the two penetration depths…

High Energy Physics - Theory · Physics 2014-11-21 Luigi Rosa , Astrid Lambrecht

The electromagnetic vacuum energy is considered in the presence of a perfectly conducting plane and a ball with dielectric permittivity $\varepsilon$ and magnetic permeability $\mu$, $\mu\ne1$. The attention is focused on the Casimir…

Quantum Physics · Physics 2013-05-01 Irina G. Pirozhenko , Michael Bordag

Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of…

High Energy Physics - Theory · Physics 2018-03-09 K. A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , S. A. Ellingsen

We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeable walls. We show that at any temperature, the Casimir force…

High Energy Physics - Theory · Physics 2009-02-19 S. C. Lim , L. P. Teo

In this Letter, we show that switching between repulsive and attractive Casimir forces by means of external tunable parameters could be realized with two topological insulator plates. We find two regimes where a repulsive (attractive) force…

Materials Science · Physics 2011-01-12 Adolfo G. Grushin , Alberto Cortijo

The Casimir force due to a scalar field on a piston in a cylinder of radius $r$ with a spherical cap of radius $R>r$ is computed numerically in the world-line approach. A geometrical subtraction scheme gives the finite interaction energy…

Quantum Physics · Physics 2015-05-13 Martin Schaden

We analyze the conditions for getting the Casimir repulsion between two nonequal plates. The force between plates with magnetic permeability defined by Drude or Lorentz models is calculated. The short and long distance limits of the force…

Quantum Physics · Physics 2008-11-26 I. G. Pirozhenko , A. Lambrecht

We study the influence of stationary axisymmetric spacetimes on Casimir energy. We consider a massive scalar field and analyze its dependence on the apparatus orientation with respect to the dragging direction associated with such spaces.…

Quantum Physics · Physics 2022-02-11 V. D. Coronell , A. E. Gonçalves , M. C. Baldiotti , R. C. Batista

Using numerical analytic continuation, we compute the Zeta function for the Casimir Effect for circular geometries in 2+1 dimensions. After subtraction of the simple pole of the zeta function, essentially MS renormalization, we find the…

High Energy Physics - Theory · Physics 2022-03-24 Daniel Davies

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

High Energy Physics - Theory · Physics 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

We present two novel models for repulsive Casimir interaction between positive perturbations. One example relies on non locality of the dielectric response and one relies on interference between (attractive) modes. Such examples are…

Quantum Physics · Physics 2009-01-14 Oded Kenneth , Israel Klich

We consider Casimir force acting on a three dimensional rectangular piston due to a massive scalar field subject to periodic, Dirichlet and Neumann boundary conditions. Exponential cut-off method is used to derive the Casimir energy in the…

High Energy Physics - Theory · Physics 2011-03-02 S. C. Lim , L. P. Teo

In this study, we examine the role of the repulsive Casimir force in counteracting the gravitational contraction of a thin spherically symmetric shell. Our main focus is to explore the possibility of achieving a stable balanced…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Leonardo Bellinato Giacomelli , Benjamin Koch , Iva Lovrekovic , Angel Rincon

We investigate repulsive Casimir force between slabs containing left-handed materials with controllable electromagnetic properties. The sign of Casimir force is determined by the electric and magnetic properties of the materials, and it is…

Quantum Physics · Physics 2008-03-25 Yaping Yang , Ran Zeng , Shutian Liu , Hong Chen , Shiyao Zhu

This paper is currently withdrawn and is being revised by the authors.

Strongly Correlated Electrons · Physics 2009-11-11 Z. Vörös , O. Berman , D. W. Snoke , L. Pfeiffer , K. West

The aim of this communication is to correct inaccurate statements presented in a Commentary on the paper titled: "Radiation forces and torque on a rigid elliptical cylinder in acoustical plane progressive and (quasi)standing waves with…

Classical Physics · Physics 2020-07-21 F. G. Mitri

We consider a massless scalar field obeying Dirichlet boundary conditions on the walls of a two-dimensional L x b rectangular box, divided by a movable partition (piston) into two compartments of dimensions a x b and (L-a) x b. We compute…

Quantum Physics · Physics 2007-05-23 R. M. Cavalcanti

This paper has been withdrawn by the author(s) due to the discussion was made on the basis of linear term merely, which is incomplete.

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Pei-Qing Jin , You-Quan Li

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

Differential Geometry · Mathematics 2009-03-20 Zuoliang Hou , Xi-Nan Ma , Damin Wu