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In this work we analyze the Casimir energy and force for a {\it thick} piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force…

High Energy Physics - Theory · Physics 2016-02-26 Guglielmo Fucci

We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction and a real Klein-Gordon field satisfying Dirichlet boundary conditions. We quantize these two…

Mathematical Physics · Physics 2015-10-01 Claudio Dappiaggi , Gabriele Nosari , Nicola Pinamonti

Recently, the premelting and formation of ice due to the Casimir-Lifshitz interaction, proposed in early 1990s by Elbaum and Schick [Phys. Rev. Lett. 66, 1713-1716 (1991)], have been generalized to diverse practical scenarios, yielding…

Recently Bo E. Sernelius [Phys. Rev. B {\bf 71}, 235114 (2005)] investigated the effects of spatial dispersion on the thermal Casimir force between two metal half spaces. He claims that incorporating spatial dispersion results in a…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. In its simplest version the string consists of two parts I and II having in general different tension and mass density, but is always…

Quantum Physics · Physics 2015-05-19 Iver Brevik

We address several different Casimir experiments where theory and experiment disagree. First out is the classical Casimir force measurement between two metal half spaces; here both in the form of the torsion pendulum experiment by Lamoreaux…

Quantum Physics · Physics 2009-10-28 Bo E. Sernelius

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. M. Mostepanenko , V. B. Bezerra , G. L. Klimchitskaya , C. Romero

We describe the Fermionic Casimir effect in the case of two spherical superfluid scatterers immersed in a normal Fermi system. It is shown that due to the focusing property of Andreev reflection this new Casimir-like energy is significantly…

Superconductivity · Physics 2011-07-19 Aurel Bulgac , Piotr Magierski , Andreas Wirzba

The statistical mechanical approach to Casimir problems for dielectrics separated by a vacuum gap turns out to be compact and effective. A central ingredient of this method is the effect of interacting fluctuating dipole moments of the…

Quantum Physics · Physics 2009-06-10 Johan S. Høye , Iver Brevik

We describe an isoelectronic differential apparatus designed to observe the influence on the Casimir force of the Mott-Anderson metal-insulator transition in doped semiconductors. Alternative theories of dispersion forces lead to different…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Giuseppe Bimonte

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

Quantum Physics · Physics 2025-02-14 M. Bordag , I. G. Pirozhenko

We highlight four points which have been ignored or underestimated before and which allow a better understanding of "Sur la dynamique de l'electron": (i) the use by Poincare of active Lorentz transformations (boosts); (ii) the necessity,…

History and Philosophy of Physics · Physics 2010-01-26 Christian Bracco , Jean-Pierre Provost

Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal field using a similar free energy description from a statistical field theory…

Statistical Mechanics · Physics 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

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

We derive the gravitonic Casimir effect with non-idealised boundary conditions. This allows the quantification of the gravitonic contribution to the Casimir effect from real bodies. We quantify the meagreness of the gravitonic Casimir…

General Relativity and Quantum Cosmology · Physics 2015-02-27 James Q. Quach

Contribution to "Rencontres de Moriond, QCD and hadronic interactions", Les Arcs, France, March 2002

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulrich Schwickerath

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir…

High Energy Physics - Theory · Physics 2014-04-18 William Long , Lucas Schuermann

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel…

High Energy Physics - Theory · Physics 2018-11-29 Massimo Blasone , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

This article reviews recent progress on the geometry dependence of Casimir interactions and presents some applications to nanosystems. The article consists of three parts: (i) Some examples for geometry dependence: structured surfaces,…

Statistical Mechanics · Physics 2009-01-30 Thorsten Emig

A comment on a recent paper (PRL {\bf 94}, 226405 (2005)) by S. De Palo, M. Botti, S. Moroni, and Gaetano Senatore.

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma