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The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

High Energy Physics - Theory · Physics 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

The vacuum energy density of electromagnetic field inside a perfectly conducting wedge is calculated by making use of the local zeta function technique. This regularization completely eliminates divergent expressions in the course of…

High Energy Physics - Theory · Physics 2009-11-07 V. V. Nesterenko , G. Lambiase , G. Scarpetta

The electromagnetic Casimir energies of a spherical and a cylindrical cavity are analyzed semiclassically. The field theoretical self-stress of a spherical cavity with ideal metallic boundary conditions is reproduced to better than 1%. The…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

Using special capacitors three experiments to search for a permanent electric dipole moment (EDM) of Cesium atom were completed. The electric susceptibility xe of Cs vapor varies in direct proportion to the density N, where xe =70 when…

Atomic Physics · Physics 2008-09-30 Pei-Lin You , Xiang-You Huang

The local Casimir energy density for a massless scalar field associated with step-function potentials in a 3+1 dimensional spherical geometry is considered. The potential is chosen to be zero except in a shell of thickness $\delta$, where…

High Energy Physics - Theory · Physics 2009-11-11 Ines Cavero-Pelaez , Kimball A. Milton , Jeffrey Wagner

It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

Classical Physics · Physics 2007-05-23 J. H. Field

The parity-violating asymmetry, including leading-order QED corrections to the Coulomb potential, is calculated non-perturbatively by solving the Dirac equation. At GeV collision energies and forward scattering angles, QED effects enhance…

Nuclear Theory · Physics 2025-05-14 Xavier Roca-Maza , D H. Jakubassa-Amundsen

We study the vacuum interaction of a scalar field and two concentric spheres defined by a singular potential on their surfaces. The potential is a linear combination of the Dirac-$\delta$ and its derivative. The presence of the delta prime…

High Energy Physics - Theory · Physics 2021-02-10 Ines Cavero-Pelaez , Jose M. Munoz-Castaneda , Cesar Romaniega

In this paper we compute the leading order Casimir energy for the electromagnetic field (EM) in an open ended perfectly conducting rectangular waveguide in three spatial dimensions by a direct approach. For this purpose we first obtain the…

High Energy Physics - Theory · Physics 2009-11-13 Madad Ali Valuyan , Reza Moazzemi , Siamak S. Gousheh

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

A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related…

High Energy Physics - Theory · Physics 2009-10-30 S. Leseduarte , August Romeo

We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects' scattering matrices and translation matrices that…

Quantum Physics · Physics 2010-11-16 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

In this paper, dedicated to the career of Tom Erber, we consider the Casimir interaction between weakly coupled bodies at nonzero temperature. For the case of semitransparent bodies, that is, ones described by delta-function potentials, we…

High Energy Physics - Theory · Physics 2010-03-18 Kimball A. Milton , Prachi Parashar , Jef Wagner , K. V. Shajesh

We investigate the pseudo-Casimir force acting between two charged surfaces confining a single polyelectrolyte chain with opposite charge. We expand the exact free energy to the second order in the local electrostatic field as well as the…

Soft Condensed Matter · Physics 2009-11-07 R. Podgornik , J. Dobnikar

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly…

Statistical Mechanics · Physics 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

We present a general extension of a field-theoretic approach developed in earlier papers to the calculation of the free energy of symmetrically layered electrolytic systems which is based on the Sine-Gordon field theory for the Coulomb gas.…

Soft Condensed Matter · Physics 2009-11-11 D. S. Dean , R. R. Horgan

The Casimir-Polder and van der Waals interaction energy of an atom with infinitely thin sphere with finite conductivity is investigated in the framework of the hydrodynamic approach. We put the sphere into spherical cavity inside the…

Quantum Physics · Physics 2014-02-12 Nail Khusnutdinov

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

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

We constrain parity-violating interactions to the surface of last scattering using spectra from the QUaD experiment's second and third seasons of observations by searching for a possible systematic rotation of the polarization directions of…