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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

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic…

High Energy Physics - Theory · Physics 2020-11-03 Andrea Erdas

We develop a general formalism to calculate the force between beads attached to a flat $d$-dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of $d$ and the membrane…

High Energy Physics - Theory · Physics 2009-10-28 Eric D'Hoker , Pierre Sikivie , Youli Kanev

The lateral Casimir force acting between a sinusoidally corrugated gold plate and sphere was calculated and measured. The experimental setup was based on the atomic force microscope specially adapted for the measurement of the lateral…

Quantum Physics · Physics 2009-11-07 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

The possibility of repulsive Casimir forces between small metal spheres and a dielectric half-space is discussed. We treat a model in which the spheres have a dielectric function given by the Drude model, and the radius of the sphere is…

Quantum Physics · Physics 2009-11-10 V. Sopova , L. H. Ford

The attractive force between metallic surfaces, predicted by Casimir in 1948, seems to indicate the physical existence and measurability of the quantized electromagnetic field's zero-point energy. It is shown in this article, that the…

General Physics · Physics 2013-08-22 Gerold Gründler

Quantum fluctuations give rise to van der Waals and Casimir forces that dominate the interaction between electrically neutral objects at sub-micron separations. Under the trend of miniaturization, such quantum electrodynamical effects are…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 J. Zou , Z. Marcet , A. W. Rodriguez , M. T. H. Reid , A. P. McCauley , I. I. Kravchenko , T. Lu , Y. Bao , S. G. Johnson , H. B. Chan

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 calculate the electrostatic potential of a periodic lattice of arbitrary extended charges by using the Cartesian multipole formalism. This method allows the separation of the long-range potential from the contact potential (potential on…

Classical Physics · Physics 2014-09-11 G. Vaman

Using perturbation theory the first order dispersive correction to the Casimir energy between two plates separated by a dielectric material is calculated. It falls off with the plate separation as 1/L^6. The result is derived both from…

Quantum Physics · Physics 2010-05-06 Finn Ravndal , Lee-Peng Teo

The presence of boundary surfaces in the vacuum alters the ground state of the quantized electromagnetic field and can lead to the appearance of vacuum forces. In the last decade, landmark measurements of the vacuum stress between…

General Physics · Physics 2018-06-06 G. Jordan Maclay

In discussions of the cosmological constant, the Casimir effect is often invoked as decisive evidence that the zero point energies of quantum fields are "real''. On the contrary, Casimir effects can be formulated and Casimir forces can be…

High Energy Physics - Theory · Physics 2009-11-11 R. L. Jaffe

Radiative corrections to the Casimir force between two parallel plates are considered in both scalar field theory of one massless and one massive field and in QED. Full calculations are contrasted with calculations based on employing…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kirill Melnikov

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy

We show that the standard result for the Casimir force between conducting plates at rest in an inertial frame can be computed in light-front quantization. This is not the same as light-front analyses where the plates are at "rest" in an…

High Energy Physics - Theory · Physics 2015-09-30 J. R. Hiller

We study the force between two circular electrodes in different configurations. A formula analogous to Kelvin's formula for the spheres is given in the case of equal disks held at the same potential and when one plate is earthed. An…

Classical Physics · Physics 2016-09-19 F. Maccarrone , G. Paffuti

At model water--vapor and water--solid interfaces, molecular ordering leads to charge oscillations and, thereby, to a spatially varying electrostatic potential. Atomistic simulations indicate that such ordering leads to an electric…

Chemical Physics · Physics 2025-12-12 David Fertig , Adrian L. Usler , Mathijs Janssen

The surface impedance approach to the description of the thermal Casimir effect in the case of real metals is elaborated starting from the free energy of oscillators. The Lifshitz formula expressed in terms of the dielectric permittivity…

Quantum Physics · Physics 2009-11-10 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We show that the Casimir force gradient can be quantitatively measured with no contact involved. Results of the Casimir force measurement with systematic uncertainty of 3% are presented for the distance range of 100-600 nm. The statistical…

General Physics · Physics 2007-12-12 Guillaume Jourdan , Astrid Lambrecht , Fabio Comin , Joël Chevrier

We argue that the appropriate variable to study a non trivial geometry dependence of the Casimir force is the lateral component of the Casimir force, which we evaluate between two corrugated metallic plates outside the validity of the…

Quantum Physics · Physics 2007-10-10 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud