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Related papers: Casimir effect with machine learning

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The Casimir effects for one-dimensional fractal networks, so-called quantum graphs is studied. Based on the Green function approach for quantum graphs zero-point energy for some simplest topologies is written explicitly.

Quantum Physics · Physics 2007-07-26 D. U. Matrasulov , J. R. Yusupov , P. K. Khabibullaev , A. A. Saidov

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the…

High Energy Physics - Theory · Physics 2009-11-10 O. Schroeder , A. Scardicchio , R. L. Jaffe

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…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

The Casimir free energy for a system of two dielectric concentric nonmagnetic spherical bodies is calculated with use of a quantum statistical mechanical method, at arbitrary temperature. By means of this rather novel method, which turns…

Quantum Physics · Physics 2009-01-14 J. S. Høye , I. Brevik , J. B. Aarseth

In the present study, the zero- and first-order radiative correction to the Casimir energy for the massive and massless scalar field confined with mixed (Neumann-Dirichlet) boundary condition between two parallel lines in 2+1 dimensions for…

High Energy Physics - Theory · Physics 2020-06-24 M. A. Valuyan

The Casimir effect for Dirac as well as for scalar charged particles is influenced by external magnetic fields. It is also influenced by finite temperature. Here we consider the Casimir effect for a charged scalar field under the combined…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this…

Mathematical Physics · Physics 2018-08-16 H. Pejhan , M. Reza Tanhayi , M. V. Takook

From the beginning of the subject, calculations of quantum vacuum energies or Casimir energies have been plagued with two types of divergences: The total energy, which may be thought of as some sort of regularization of the zero-point…

High Energy Physics - Theory · Physics 2015-05-18 Kimball A. Milton

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

High Energy Physics - Theory · Physics 2014-11-18 C. D. Fosco , E. Losada

The Casimir energy or stress due to modes in a D-dimensional volume subject to TM (mixed) boundary conditions on a bounding spherical surface is calculated. Both interior and exterior modes are included. Together with earlier results found…

High Energy Physics - Theory · Physics 2009-10-30 Kimball A. Milton

This survey summarizes briefly results obtained recently in the Casimir energy studies devoted to the following subjects: i) account of the material characteristics of the media in calculations of the vacuum energy (for example, Casimir…

High Energy Physics - Theory · Physics 2016-10-05 V. V. Nesterenko , G. Lambiase , G. Scarpetta

A broadband electromagnetic source is important for scientific and technological applications. Quantum vacuum fluctuations, which manifest most prominently in the Casimir effect, provide a fundamentally broadband electromagnetic source.…

Quantum Physics · Physics 2026-04-20 Hideo Iizuka , Shanhui Fan

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

We revisit the calculation of the Casimir effect from the perspective of scale limited resolutions of quantum fields. We use the continuous wavelet transform to introduce a scale degree of freedom and then restrict it to simulate either an…

Quantum Physics · Physics 2024-06-21 Šimon Vedl , Daniel J. George , Gavin K. Brennen

We treat the two-dimensional Achucarro-Ortiz black hole (also known as (1+1) dilatonic black hole) as a Casimir-type system. The stress tensor of a massless scalar field satisfying Dirichlet boundary conditions on two one-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Elias C. Vagenas

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

The Casimir energy for massless scalar field of two parallel conductor, in two dimensional Schwarzchild black hole background, with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress…

High Energy Physics - Theory · Physics 2009-10-31 M. R. Setare

In this paper we examine Casimir effect in the case of tachyonic field, which is connected with particles with negative four-momentum square. We consider here only the case of one dimensional, scalar field. In order to describe tachyonic…

High Energy Physics - Theory · Physics 2015-06-26 Marcin Ostrowski

We start this paper with a historical survey of the Casimir effect, showing that its origin is related to experiments on colloidal chemistry. We present two methods of computing Casimir forces, namely: the global method introduced by…

High Energy Physics - Theory · Physics 2015-06-26 Carlos Farina

The Casimir effect results from alterations of the zero-point electromagnetic energy introduced by boundary-conditions. For ferromagnetic layers separated by vacuum (or a dielectric) such boundary-conditions are influenced by the…

Quantum Physics · Physics 2009-11-07 G. Metalidis , P. Bruno