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This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

It has been argued since 1948, when it was experimentally demonstrated, that the Casimir effect-where two non-charged conducting plates have a weak but measurable force on each other dependent on the inverse fourth power of the distance…

General Physics · Physics 2022-06-13 Gerald E. Marsh

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

Quantum Physics · Physics 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

Quantum mechanics predicts the occurrence of random electromagnetic field fluctuations, or virtual photons, in vacuum. The exchange of virtual photons between two bodies in relative motion could lead to non-contact quantum vacuum friction…

Quantum Physics · Physics 2024-03-12 Zhujing Xu , Peng Ju , Kunhong Shen , Yuanbin Jin , Zubin Jacob , Tongcang Li

The energy momentum tensor is used to introduce the Casimir force of the massive scalar field acting on a nonpenetrating surface. This expression can be used to evaluate the vacuum force by employing the appropriate field operators. To…

Quantum Physics · Physics 2014-06-05 Sonia Mobassem

Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard…

High Energy Physics - Theory · Physics 2021-02-03 S. S. Chabysheva , J. R. Hiller

The static Casimir effect concerns quantum electrodynamic induced Lamb shifts in the mode frequencies and thermal free energies of condensed matter systems. Sometimes, the condensed matter constitutes the boundaries of a vacuum region. The…

Quantum Physics · Physics 2009-11-11 Y. N. Srivastava , A. Widom , S. Sivasubramanian , M. Pradeep Ganesh

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

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

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along…

High Energy Physics - Theory · Physics 2019-08-21 Kenji Fukushima , Shota Imaki , Zebin Qiu

The existence of irreducible field fluctuations in vacuum is an important prediction of quantum theory. These fluctuations have many observable consequences, like the Casimir effect which is now measured with good accuracy and agreement…

Quantum Physics · Physics 2015-06-26 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet , Marc-Thierry Jaekel

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

Statistical Mechanics · Physics 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

The quantum vacuum (Casimir) energy arising from noninteracting massless quanta is known to induce a long-range force, while decays exponentially for massive fields and separations larger than the inverse mass of the quanta involved. Here,…

High Energy Physics - Theory · Physics 2021-07-07 Antonino Flachi , Vincenzo Vitagliano

We apply the background field method and the effective action formalism to describe the four-dimensional dynamical Casimir effect. Our picture corresponds to the consideration of quantum cosmology for an expanding FRW universe (the boundary…

High Energy Physics - Theory · Physics 2009-01-14 I. Brevik , K. A. Milton , S. D. Odintsov , K. E. Osetrin

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3…

General Relativity and Quantum Cosmology · Physics 2013-05-30 B. Nazari , M. Nouri-Zonoz

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

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily formulated in terms of Green's…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli