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We study the zero point energy of massless scalar and vector fields subject to spheroidal boundary conditions. For massless scalar fields and small ellipticity the zero-point energy can be found using both zeta function and Green's function…

量子物理 · 物理学 2015-05-20 A. R. Kitson , A. I. Signal

In the final few years of his life, Julian Schwinger proposed that the ``dynamical Casimir effect'' might provide the driving force behind the puzzling phenomenon of sonoluminescence. Motivated by that exciting suggestion, I have computed…

高能物理 - 理论 · 物理学 2022-04-13 Kimball A. Milton

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…

统计力学 · 物理学 2014-03-17 Joseph P. Straley , Graham A. White , Eugene B. Kolomeisky

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

量子物理 · 物理学 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

广义相对论与量子宇宙学 · 物理学 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

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…

量子物理 · 物理学 2014-06-05 Sonia Mobassem

A new model for the origin of dark energy is proposed based on the Casimir effect in a supersymmetry-breaking brane-world. Supersymmetry is assumed to be preserved in the bulk while broken on a 3-brane. Due to the boundary conditions…

天体物理学 · 物理学 2007-05-23 Pisin Chen , Je-An Gu

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

量子物理 · 物理学 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the…

量子物理 · 物理学 2012-07-20 Mustafa Özcan

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We…

高能物理 - 理论 · 物理学 2009-11-07 August Romeo , Aram A. Saharian

The Casimir energy of a solid ball (or cavity in an infinite medium) is calculated by a direct frequency summation using the contour integration. The dispersion is taken into account, and the divergences are removed by making use of the…

高能物理 - 理论 · 物理学 2009-10-31 V. V. Nesterenko , I. G. Pirozhenko

We study the Casimir energy due to a quantum real scalar field coupled to two planar, infinite, zero-width, parallel mirrors with non-homogeneous properties. These properties are represented, in the model we use, by scalar functions defined…

高能物理 - 理论 · 物理学 2020-02-26 Cesar D. Fosco , Francisco D. Mazzitelli

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

统计力学 · 物理学 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically for the first time for an arbitrary physically possible frequency dispersion of dielectric permittivity $\epsilon(i\omega)$.…

高能物理 - 理论 · 物理学 2009-11-07 Valery N. Marachevsky

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…

高能物理 - 理论 · 物理学 2007-05-23 Kimball A. Milton

The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy…

高能物理 - 理论 · 物理学 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

In this paper we investigate the vacuum densities for a massive scalar field with general curvature coupling in background of a (2+1)-dimensional spacetime corresponding to a cylindrical tube with a hemispherical cap. A complete set of mode…

广义相对论与量子宇宙学 · 物理学 2016-01-19 E. R. Bezerra de Mello , A. A. Saharian

Non-trivial $\phi ^{4}$-theory is studied in a renormalisation group invariant approach inside a box consisting of rectangular plates and where the scalar modes satisfy periodic boundary conditions at the plates. It is found that the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Langfeld , F. Schm"user , H. Reinhardt

In [5] we investigated the response of vacuum energy to a gravitational field by considering a Casimir apparatus in a weak gravitational field. Our approach was based on a conjecture involving the interpretation of spacetime as a refractive…

广义相对论与量子宇宙学 · 物理学 2012-03-01 B. Nazari , M. Nouri-Zonoz

We present a rigorous, regularization independent local quantum field theoretic treatment of the Casimir effect for a quantum scalar field of mass $\mu\ne0$ which yields closed form expressions for the energy density and pressure. As an…

广义相对论与量子宇宙学 · 物理学 2015-05-13 G. Gazzola , M. C. Nemes , W. F. Wreszinski