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We propose an approach for investigation of interaction of thin material films with quantum electrodynamic fields. Using main principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we construct a single model…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Markov , Yu. M. Pis'mak

For more than 35 years theorists have studied quantum or Casimir friction, which occurs when two smooth bodies move transversely to each other, experiencing a frictional dissipative force due to quantum electromagnetic fluctuations, which…

Quantum Physics · Physics 2016-05-17 K. A. Milton , J. S. Høye , I. Brevik

The Phononic Casimir effect between planar objects is investigated by deriving a formalism from the quantum partition function of the system following multiscattering approach. This fluctuation-induced coupling is mediated by phonons…

Quantum Physics · Physics 2025-12-03 Pablo Rodriguez-Lopez , Dai-Nam Le , Lilia M. Woods

The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA).…

Quantum Physics · Physics 2007-06-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors…

Quantum Physics · Physics 2009-11-07 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We study the Casimir interaction in the plane-sphere geometry in the classical limit of high temperatures. In this limit, the finite conductivity of the metallic plates needs to be taken into account. For the Drude model, the classical…

Since massive scalar field plays an important role in theoretical physics, we consider the interaction between a sphere and a plate due to the vacuum fluctuation of a massive scalar field. We consider combinations of Dirichlet and Neumann…

High Energy Physics - Theory · Physics 2015-10-28 L. P. Teo

We derive exact expressions for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and for the media-separated cylinder-plane geometry using a mode-summation approach. Similarly to the…

Quantum Physics · Physics 2011-02-28 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar , D. A. R. Dalvit

From energy considerations there is reason to expect that the work done by Casimir forces during a slow displacement of the parallel plates reflects the free energy of the surface tension of the adjacent surfaces. We show this explicitly,…

Quantum Physics · Physics 2017-05-30 J. S. Høye , I. Brevik

We study the Casimir interaction between perfectly conducting sphere and plate in the classical limit of high temperatures. By taking the small-distance expansion of the exact scattering formula, we compute the leading correction to the…

Quantum Physics · Physics 2017-03-15 Giuseppe Bimonte

We consider the problem of modeling of interaction of thin material films with fields of quantum electrodynamics. Taking into account the basic principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we…

High Energy Physics - Theory · Physics 2009-11-11 V. N. Markov , Yu. M. Pis'mak

The Casimir force between two infinitely thin parallel sheets in a setting of $N$ such sheets is found. The finite two-dimensional conductivities, which describe the dispersive and absorptive properties of each sheet, are taken into…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 D. Drosdoff , Lilia M. Woods

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

Using the recently proposed theory, we calculate thermal effect in the Casimir interaction from graphene-coated metallic and dielectric substrates. The cases when only one or both of the two parallel plates are coated with graphene are…

Quantum Physics · Physics 2015-06-19 G. L. Klimchitskaya , V. M. Mostepanenko

Perturbative corrections to the Casimir free energy due to macroscopic roughness of dielectric interfaces are obtained in the framework of an effective low-energy field theory. It describes the interaction of electromagnetic fields with…

Quantum Physics · Physics 2014-05-14 Hua Yao Wu , Martin Schaden

We calculate the Casimir force or dispersive van der Waals force between a spherical nanoparticle and a planar substrate, both with arbitrary dielectric properties. We show that the force between a sphere and a plane can be calculated…

Other Condensed Matter · Physics 2007-05-23 Cecilia Noguez , C. Roman-Velazquez

We compute the Casimir Energy of a spherical region using a Surface Impedance approach. We characterize the Surface Impedance of the boundary using plasma model. Exact analytical formulae are obtained by means of the zeta function…

High Energy Physics - Theory · Physics 2012-11-20 Luigi Rosa

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

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the Quantum Field Theory (QFT)…

High Energy Physics - Theory · Physics 2010-01-26 M. Bordag , I. V. Fialkovsky , D. M. Gitman , D. V. Vassilevich