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The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

We investigate in detail the Casimir torque induced by quantum vacuum fluctuations between two nanostructured plates. Our calculations are based on the scattering approach and take into account the coupling between different modes induced…

Quantum Physics · Physics 2015-09-01 R. Guérout , C. Genet , A. Lambrecht , S. Reynaud

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Alessandro Gruppuso , Benjamin Harms , Octavian Micu

The vacuum expectation value of the electromagnetic energy-momentum tensor between two parallel plates in spacetime dimensions D > 4 is calculated in the axial gauge. While the pressure between the plates agrees with the global Casimir…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

The Casimir effect, arising from vacuum quantum fluctuations, plays a fundamental role in the development of modern quantum electrodynamics. In parallel, the field of condensed matter has flourished through the discovery of various…

Quantum Physics · Physics 2025-10-01 Zixuan Dai , Qing-Dong Jiang

Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular…

Classical Physics · Physics 2018-02-13 O. A. Silantyeva , N. N. Dmitriev

We report measurements of the Casimir force between a gold sphere and a silicon surface with an array of nanoscale, rectangular corrugations using a micromechanical torsional oscillator. At distance between 150 nm and 500 nm, the measured…

Quantum Physics · Physics 2008-07-15 H. B. Chan , Y. Bao , J. Zou , R. A. Cirelli , F. Klemens , W. M. Mansfield , C. S. Pai

The Casimir stress on two parallel plates in de Sitter background for massless scalar field satisfying Robin boundary conditions on the plates is calculated. The metric is written in conformally flat form to make maximum use of the…

High Energy Physics - Theory · Physics 2009-11-07 M. R. Setare , R. Mansouri

A one-dimensional Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in high-dimensional spacetimes within the frame of Kaluza-Klein theory is analyzed. We derive and calculate the exact expression for the…

High Energy Physics - Theory · Physics 2008-11-26 Hongbo Cheng

Electromagnetic waves propagation on either rotating or anisotropic spacetime backgrounds (such as Kerr and G\"odel metrics, or Bianchi-I metric) produce a reduction of the magnitude of Casimir forces between plates. These curved spacetimes…

General Relativity and Quantum Cosmology · Physics 2021-02-04 Felipe A. Asenjo , Sergio A. Hojman

This paper is devoted to the presentation of the lateral Casimir force between two sinusoidally corrugated eccentric cylinders. Despite that applying scattering matrix method explains the problem exactly, procedure of applying this method…

High Energy Physics - Theory · Physics 2015-06-18 M. R. Setare , A. Seyedzahedi

Casimir-type forces, such as those between two neutral conducting plates, or between a sphere, atom or molecule and a plate have been widely studied and are becoming of increasing significance, for example, in nanotechnology. A key…

Quantum Physics · Physics 2014-03-24 Alvaro M. Alhambra , Achim Kempf , Eduardo Martin-Martinez

The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of…

Quantum Physics · Physics 2012-07-19 Mustafa Ozcan

The chiral component of the Casimir-Polder potential is derived within the framework of macroscopic quantum electrodynamics. It is shown to exist only if the particle and the medium are both chiral. Furthermore, the chiral component of the…

Quantum Physics · Physics 2015-06-11 David T. Butcher , Stefan Yoshi Buhmann , Stefan Scheel

The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

Despite suggestions to the contrary, we show in this paper that the usual dispersive form of the electromagnetic energy must be used to derive the Lifshitz force between parallel dielectric media. This conclusion follows from the general…

Other Condensed Matter · Physics 2015-05-18 Kimball A. Milton , Jef Wagner , Prachi Parashar , Iver Brevik

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi