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We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo

We show that the Casimir effect should be influenced by variations of the gravitational potential. This could be tested with a satellite in a highly elliptic orbit. Still significant technology development is required to achieve a relative…

General Physics · Physics 2015-08-25 C. J. de Matos , M. Tajmar

The Casimir force was predicted in 1948 as a force arising between macroscopic bodies from the zero-point energy. At finite temperatures it has been shown that a thermal Casimir force exists due to thermal rather than zero-point energy and…

We discuss a proposal to measure the Casimir force in the parallel plate configuration in the $1-10\mu$m range via a high-sensitivity torsional balance. This will allow to measure the thermal contribution to the Casimir force therefore…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , V. V. Nesvizhevsky , R. Onofrio , S. Reynaud

Finite temperature Casimir theory of the Dirichlet scalar field is developed, assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap R and in addition an arbitrary number q…

High Energy Physics - Theory · Physics 2014-11-18 Marianne Rypestøl , Iver Brevik

In this paper, the finite temperature Casimir force acting on a two-dimensional Casimir piston due to electromagnetic field is computed. It was found that if mixed boundary conditions are assumed on the piston and its opposite wall, then…

High Energy Physics - Theory · Physics 2009-03-19 L. P. Teo

We show that the inclusion of effects beyond Migdal's limit in the electron-phonon interaction naturally leads to an isotope effect for the effective mass $m^{*}$ of the charge carriers even much before reaching the polaron limit. This is…

Superconductivity · Physics 2009-10-30 C. Grimaldi , E. Cappelluti , L. Pietronero

Theory of the Casimir effect is presented in several examples. Casimir - Polder type formulas, Lifshitz theory and theory of the Casimir effect for two gratings separated by a vacuum slit are derived. Equations for the electromagnetic field…

Quantum Physics · Physics 2015-06-12 Valery N. Marachevsky

Starting from the Lifshitz formula for the Casimir force between parallel plates we calculate the difference between the forces at two different settings, one in which the temperature is $T_1=350$ K, the other when $T_2=300$ K. As material…

Quantum Physics · Physics 2007-05-23 I. Brevik , J. B. Aarseth , J. S. Hoye , K. A. Milton

We study the isotope effect on the temperature of the proton order/disorder phase transition between ice XI and ice Ih, using the quasiharmonic approximation combined with \textit{ab initio} density functional theory calculations. We show…

Materials Science · Physics 2015-10-14 Betül Pamuk , Philip B. Allen , M. -V. Fernández-Serra

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

It has been known that the fundamental Lifshitz theory, which is based on first principles of thermal quantum field theory, experiences difficulties when compared with precise measurements of the Casimir force. We analyze the…

Quantum Physics · Physics 2023-05-05 G. L. Klimchitskaya , V. M. Mostepanenko

We report on the first measurement of a temperature dependence of the Casimir-Polder force. This measurement was obtained by positioning a nearly pure 87-Rb Bose-Einstein condensate a few microns from a dielectric substrate and exciting its…

Atomic Physics · Physics 2007-05-23 J. M. Obrecht , R. J. Wild , M. Antezza , L. P. Pitaevskii , S. Stringari , E. A. Cornell

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

By using silicon oxide based aerogels we show numerically that the Casimir force can be reduced several orders of magnitude, making its effect negligible in nanodevices. This decrease in the Casimir force is also present even when the…

Quantum Physics · Physics 2009-11-13 R. Esquivel-Sirvent

We extend a fictitious-cavity approach to calculate the Casimir effect for cavities bounded by flat anisotropic materials. We calculate the energy, force and torque in terms only of the optical coefficients of the walls of the cavity. We…

Quantum Physics · Physics 2013-01-31 José C. Torres-Guzmán , W. Luis Mochán

The attractive force between metallic surfaces, predicted by Casimir in 1948, seems to indicate the physical existence and measurability of the quantized electromagnetic field's zero-point energy. It is shown in this article, that the…

General Physics · Physics 2013-08-22 Gerold Gründler

We investigate the Casimir-Polder force acting on a polarizable microparticle in the geometry of a straight cosmic string. In order to develop this analysis we evaluate the electromagnetic field Green tensor on the imaginary frequency axis.…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian , A. S. Kotanjyan

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the…

High Energy Physics - Theory · Physics 2009-11-10 O. Schroeder , A. Scardicchio , R. L. Jaffe