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We study the general form of the Casimir interaction between two flat finite-width, parallel, infinite mirrors, described by their respective vacuum polarization tensors, under the assumption of translation invariance along the directions…

High Energy Physics - Theory · Physics 2013-04-24 C. D. Fosco , M. L. Remaggi

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We investigate the long-range behavior of the induced Casimir interaction between two spinless heavy impurities, or polarons, in superfluid cold atomic gases. With the help of effective field theory (EFT) of a Galilean invariant superfluid,…

Quantum Gases · Physics 2022-12-01 Keisuke Fujii , Masaru Hongo , Tilman Enss

The interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied. The mirror plane is assumed to obey either Dirichlet or…

Statistical Mechanics · Physics 2009-11-13 Thorsten Emig

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this approach in simple cases where the…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Antoine Canaguier-Durand , Romain Guérout , Serge Reynaud

The Casimir friction problem for dielectric plates that move parallel to each other is treated by assuming one of the plates to be at rest. The other performs a closed loop motion in the longitudinal direction. Therewith by use of energy…

Quantum Physics · Physics 2014-03-27 Johan S. Høye , Iver Brevik

In a previous publication, we discussed the formalism and some computational results for phononic thermal conduction in the suspended membrane geometry for radial heat flow from a central source, which is a common geometry for some…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 Tuomas Puurtinen , Ilari Maasilta

We calculate the thermal Casimir--Polder potential of C60 and C70 fullerene molecules near gold and silicon nitride surfaces, motivated by their relevance for molecular matter wave interference experiments. We obtain the coefficients…

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

Quantum Physics · Physics 2015-06-18 L. P. Teo

We have developed an exact, general method to compute Casimir interactions between a finite number of compact objects of arbitrary shape and separation. Here, we present details of the method for a scalar field to illustrate our approach in…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

Using the recently derived representation for the polarization tensor in (2+1)-dimensional space-time allowing an analytic continuation to the entire plane of complex frequencies, we obtain simple analytic expressions for the reflection…

Other Condensed Matter · Physics 2015-05-08 G. L. Klimchitskaya , V. M. Mostepanenko

We reconsider the ordinary impurity effect on the transition temperature $T_{c}$ of superconductors using the Eliashberg formalism. It is shown that the correspondence principle, which relates strong-coupling and weak-coupling theories,…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the…

High Energy Physics - Theory · Physics 2009-05-12 K. A. Milton

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined…

Quantum Physics · Physics 2014-10-30 P. Rodriguez-Lopez , T. Emig

We consider the Casimir interaction between two spheres corresponding to massless Dirac fields with MIT-bag boundary conditions. Using operator approach, we derive the TGTG-formula for the Casimir interaction energy between the two spheres.…

High Energy Physics - Theory · Physics 2015-05-20 L. P. Teo

The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid…

Other Condensed Matter · Physics 2014-11-18 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction U the functional renormalization group method is used. For…

Strongly Correlated Electrons · Physics 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

We study the effective interaction between two ellipsoidal particles at the interface of two fluid phases which are mediated by thermal fluctuations of the interface. In this system the restriction of the long--ranged interface fluctuations…

Soft Condensed Matter · Physics 2009-05-30 Ehsan Noruzifar , Martin Oettel