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We calculate the increase in the number of modes (the Kac number) per unit length and the change in the zero-point energy (the Casimir energy) of the electromagnetic field resulting from the introduction of a thin perfectly conducting…

Statistical Mechanics · Physics 2014-03-17 Joseph P. Straley , Graham A. White , Eugene B. Kolomeisky

Using field theory we calculate the Casimir energy and Casimir force of two-component Bose-Einstein condensates restricted between two parallel plates, in which Dirichlet and periodic boundary conditions applied. Our results show that, in…

Quantum Gases · Physics 2017-05-24 Nguyen Van Thu

One loop field theory calculations of free energies quite often yield violations of the stability conditions associated with the thermodynamic second law. Perhaps the best known example involves the equation of state of black holes. Here,…

Quantum Physics · Physics 2007-05-23 A. Widom , E. Sassaroli , Y. N. Srivastava , J. Swain

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we…

High Energy Physics - Theory · Physics 2007-05-23 Marcin Ostrowski

There appears to be three, perhaps related, ways of approaching the nature of vacuum energy . The first is to say that it is just the lowest energy state of a given, usually quantum, system. The second is to equate vacuum energy with the…

High Energy Physics - Theory · Physics 2007-05-23 Mark D. Roberts

The Casimir effect describes the attractive force arising due to quantum fluctuations of the vacuum electromagnetic field between closely spaced conducting plates. Traditionally, zeta-regularization is employed in calculations to address…

Quantum Physics · Physics 2024-06-12 Ching-Hsuan Yen

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip

The regularized total Casimir energy in spacetimes with boundaries is not in general equal to the integral of the regularized energy density. This paradoxical phenomenon is most transparently analyzed in the simple example of a massless…

Quantum Physics · Physics 2007-05-23 Xinwei Kong , Finn Ravndal

In this paper we present the un-Casimir effect, namely the study of the Casimir energy in the presence of an unparticle component in addition to the electromagnetic field contribution. The distinctive feature of the un-Casimir effect is a…

High Energy Physics - Phenomenology · Physics 2017-07-27 Antonia M. Frassino , Piero Nicolini , Orlando Panella

We show through Schwinger's approach that in a static weak gravitational background, the Casimir Energy for a real massless scalar field obeying Dirichlet boundary conditions on rectangular plates is unaltered from it's flat space-time…

High Energy Physics - Theory · Physics 2021-02-03 A. P. C. M Lima , G. Alencar , R. R. Landim

Two perfectly conducting, infinite parallel plates will restrict the electromagnetic vacuum, producing an attractive force. This phenomenon is known as the Casimir effect. Here we use electromagnetic field correlators to define the local…

Quantum Physics · Physics 2023-12-05 Matthew J. Gorban , William D. Julius , Gerald B. Cleaver

The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct…

Quantum Physics · Physics 2015-05-20 L. P. Teo

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

High Energy Physics - Theory · Physics 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

In this study, we consider motion of the massive and charged Bose gas trapped in electric and magnetic fields between two parallel plates in the $x-y$ plane that are separated by a distance $d$ in the $z$ direction. We derive analytical…

Quantum Physics · Physics 2015-08-06 Seyit Deniz Han , Ekrem Aydiner

We construct various self-similar configurations using parallel $\delta$-function plates and show that it is possible to evaluate the Casimir interaction energy of these configurations using the idea of self-similarity alone. We restrict…

High Energy Physics - Theory · Physics 2016-09-14 K. V. Shajesh , Iver Brevik , Inés Cavero-Peláez , Prachi Parashar

Does a physical field exist independently of the interaction between the field source and the test body used to measure it at a given point? What does propagate between two physical bodies when they interact? These are the fundamental…

General Physics · Physics 2021-06-18 Clovis Jacinto de Matos

A new formula for the Casimir energy of a dispersive dilute dielectric ball is discussed. The formula for the Casimir energy of a polarizable particle situated in a perfectly conducting wedge-shaped cavity is derived by a path-integral…

Condensed Matter · Physics 2009-11-07 Valery N. Marachevsky

We study the Casimir vacuum energy density and the Casimir pressure for a massless scalar field confined between two nearby parallel plates in a slightly curved, static spacetime background, employing the weak field approximation in the…

General Relativity and Quantum Cosmology · Physics 2017-04-19 G. Lambiase , A. Stabile , An. Stabile

We suggest a new perspective on the Cosmological Constant Problem by scrutinizing its standard formulation. In classical and quantum mechanics without gravity, there is no definition of the zero point of energy. Furthermore, the Casimir…

High Energy Physics - Theory · Physics 2014-09-25 Denis Bernard , André LeClair

The Casimir force due to {\it thermal} fluctuations (or pseudo-Casimir force) was previously calculated for the perfect Bose gas in the slab geometry for various boundary conditions. The Casimir pressure due to {\it quantum} fluctuations in…

High Energy Physics - Theory · Physics 2011-02-16 Ariel Edery