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The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The great adaptibility of this string model with respect to various regularization methods is pointed out. We survey several…

High Energy Physics - Theory · Physics 2007-05-23 I. Brevik , A. A. Bytsenko

The shift of nanosized metal configurations relative to one another can lead to an increase in the range of optimal lengths of wings and angles of the opening of cavities, at which noncompensated Casimir forces in them are maximal. The…

Quantum Physics · Physics 2013-09-13 Evgeny G. Fateev

Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

We numerically test an experimentally realizable method for the extraction of the critical Casimir force based on its thermodynamic definition as the derivative of the excess free energy with respect to system size. Free energy differences…

Statistical Mechanics · Physics 2016-03-31 David Lopes Cardozo , Hugo Jacquin , Peter C. W. Holdsworth

We consider versions of the Casimir effect where the force can be controlled by changing the angle between two Casimir ``plates'' or the temperature of two nearby rings. We also present simple arguments for the sign of Casimir forces.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Nussinov

The Casimir force for charge-neutral, perfect conductors of non-planar geometric configurations have been investigated. The configurations are: (1) the plate-hemisphere, (2) the hemisphere-hemisphere and (3) the spherical shell. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sung Nae Cho

We present the foundations of a new approach to the Casimir effect based on classical ray optics. We show that a very useful approximation to the Casimir force between arbitrarily shaped smooth conductors can be obtained from knowledge of…

Quantum Physics · Physics 2009-11-10 A. Scardicchio , R. L. Jaffe

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

Numerical simulations based on electronic structure calculations are finding ever growing applications in many areas of physics. A major limiting factor is however the cubic scaling of the algorithms used. Building on previous work [F. R.…

Materials Science · Physics 2009-11-11 Florian R. Krajewski , Michele Parrinello

Our preceding paper introduced a method to compute Casimir forces in arbitrary geometries and for arbitrary materials that was based on a finite-difference time-domain (FDTD) scheme. In this manuscript, we focus on the efficient…

The Casimir energy of a non-uniform string built up from two pieces with different speed of sound is calculated. A standard procedure of subtracting the energy of an infinite uniform string is applied, the subtraction being interpreted as…

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

The Casimir force between parallel lines in a theory describing condensed vortices in a plane is determined. We make use of the relation between a Chern-Simons-Higgs model and its dualized version, which is expressed in terms of a dual…

High Energy Physics - Theory · Physics 2013-01-04 J. F. de Medeiros Neto , Rudnei O. Ramos , Carlos Rafael M. Santos

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

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 efficiently computed by consideration of the vacuum fluctuations that are…

Statistical Mechanics · Physics 2008-07-31 Eugene B. Kolomeisky , Joseph P. Straley

This paper studies quantum field theories defined in networks, which are the multi-branch generalizations of interface conformal field theory (ICFT). We propose a novel junction condition on the node and show that it is consistent with…

Quantum Physics · Physics 2025-10-06 Tian-Ming Zhao , Rong-Xin Miao

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

High Energy Physics - Theory · Physics 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

Quantum Physics · Physics 2009-11-07 Timothy H. Boyer

We report on a proposal aimed at measuring the Casimir force in a cylinder-plane configuration. The Casimir force is evaluated including corrections due to finite parallelism, conductivity, and temperature. The range of validity of the…

This article is divided in three sections. In the first section we briefly review some high precision experiments on the Casimir force, underlying an important aspect of the analysis of the data. In the second section we discuss our recent…

Quantum Physics · Physics 2007-05-23 Davide Iannuzzi , Ian Gelfand , Mariangela Lisanti , Federico Capasso

Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka