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The Euler-Bernoulli beam model has been studied classically and semi-classically. The semi-classical quantization is done in an analogous way to the quantization of the electromagnetic field, and we found an effect that is similar to the…

Quantum Physics · Physics 2026-03-12 Humberto C. F. Lemos , Thiago Cordeiro , Adelcio C. Oliveira

The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de…

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

The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

Quantum Physics · Physics 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

We study the Casimir force between defects (branes) of co-dimension larger than 1 due to quantum fluctuations of a scalar field $\phi$ living in the bulk. We show that the Casimir force is attractive and that it diverges as the distance…

High Energy Physics - Theory · Physics 2009-11-11 A. Scardicchio

Two close parallel mirrors attract due to a small force (Casimir effect) originating from the electromagnetic quantum vacuum uctuations of the electromagnetic field. These vacuum uctuations can also induce motional forces exerted upon one…

In previous works Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to…

Quantum Physics · Physics 2009-10-28 Patrick Suppes , Adonai S. Sant'Anna , J. Acacio de Barros

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

We get deeper understanding of the role played by boundary conditions in quantum field theory, by studying the structure of a scalar massless quantum field theory bounded by two one dimensional planar crystal plates. The system can also be…

Mathematical Physics · Physics 2011-09-23 J. M. Munoz-Castaneda , M. Bordag

Macroscopic quantum vacuum and modern theories of gravitation share the strong interplay between geometry and physical phenomena. We review selected issues related to the accuracy of the measurement of Casimir forces with particular…

High Energy Physics - Phenomenology · Physics 2011-03-28 Roberto Onofrio

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

High Energy Physics - Theory · Physics 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

The structure of solids and their phases is mainly determined by static Coulomb forces while the coupling of charges to the dynamical, i.e., quantized degrees of freedom of the electromagnetic field plays only a secondary role. Recently, it…

Quantum Physics · Physics 2021-03-16 Michael Schuler , Daniele De Bernardis , Andreas M. Läuchli , Peter Rabl

Spatially separated bodies in relative motion through vacuum experience a tiny friction force known as quantum friction. This force has so far eluded experimental detection due to its small magnitude and short range. Quantitative details…

Quantum Physics · Physics 2021-03-24 Fernando C. Lombardo , Ricardo S. Decca , Ludmila Viotti , Paula I. Villar

Proposing a combined system of a nanoparticle and a plane surface in the presence of electromagnetic vacuum fluctuations, the electromagnetic and medium fields have been quantized. Quantum friction of nanoparticle due to the presence of…

Quantum Physics · Physics 2016-07-15 Vahid Ameri

The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on…

High Energy Physics - Theory · Physics 2011-07-19 R. M. Avagyan , A. A. Saharian , A. H. Yeranyan

We review and assess a part of the recent work on Casimir apparatuses in the weak gravitational field of the Earth. For a free, real massless scalar field subject to Dirichlet or Neumann boundary conditions on the parallel plates, the…

High Energy Physics - Theory · Physics 2010-10-19 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , George M. Napolitano , Luigi Rosa

It has been demonstrated, using variational methods, that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly conducting parallel plates. This…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A Milton , Stephen A Fulling , Prachi Parashar , August Romeo , K V Shajesh , Jeffrey A Wagner

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among…

Mathematical Physics · Physics 2008-04-25 Stephen A. Fulling

Casimir-Polder interactions cause energy and momentum exchange between microscopic and macroscopic bodies, a process mediated by quantum fluctuations in the coupled matter-electromagnetic field system. The dynamics of such effects are yet…

Quantum Physics · Physics 2022-04-13 Joseph Durnin , Juliane Klatt , Robert Bennett , Stefan Yoshi Buhmann

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

Quantum Physics · Physics 2007-05-23 F. C. Santos , A. C. Tort
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