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A new theory describing the interaction between atoms and a conductor with small densities of current carriers is presented. The theory takes into account the penetration of the static component of the thermally fluctuating field in the…

Other Condensed Matter · Physics 2009-11-13 L. P. Pitaevskii

The Lifshitz formula and methods of its preparation in the literature are considered. It is shown that in Lifshitz's work itself, this formula is given without a consistent conclusion. Moreover, the approach to the conclusion proposed in…

Quantum Physics · Physics 2026-01-13 Michael V. Davidovich

The application of the Lifshitz theory to describe the thermal Casimir force between dielectrics and semiconductors is considered. It is shown that for all true dielectrics (i.e., for all materials having zero conductivity at zero…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , B. Geyer

The situation with the temperature corrections to the Casimir force between real metals of finite conductivity is reported. It is shown that the plasma dielectric function is well adapted to the Lifshitz formula and leads to reasonable…

Quantum Physics · Physics 2009-11-07 G. L. Klimchitskaya

In this work we concentrate on an experimental validation of the Lifshitz theory for van der Waals and Casimir forces in gold-alcohol-glass systems. From this theory weak dispersive forces are predicted when the dielectric properties of the…

Soft Condensed Matter · Physics 2015-05-13 P. J. van Zwol , G. Palasantzas , J. Th. M. DeHosson

The Lifshitz theory of dispersion forces leads to thermodynamic and experimental inconsistencies when the role of drifting charge carriers is included in the model of the dielectric response. Recently modified reflection coefficients were…

We discuss the limitations of the applicability of the Lifshitz formula to describe the temperature dependence of the Casimir force between two bulk lossy metals. These limitations follow from the finite sizes of the interacting bodies.…

Other Condensed Matter · Physics 2015-05-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

We develop a new theory for Casimir-Lifshitz and Casimir-Polder interactions with semiconductor surfaces that takes into account charge drift in the bulk material. The corresponding frequency-dependent dispersion relations describe a…

Quantum Physics · Physics 2009-11-13 Diego A. R. Dalvit , Steve K. Lamoreaux

The analytic asymptotic expressions for the Casimir free energy, pressure and entropy at low temperature in the configuration of one metal and one dielectric plate are obtained. For this purpose we develop the perturbation theory in a small…

Quantum Physics · Physics 2008-01-13 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We review recent results obtained in the physics of the thermal Casimir force acting between two dielectrics, dielectric and metal, and between metal and semiconductor. The detailed derivation for the low-temperature behavior of the Casimir…

Quantum Physics · Physics 2007-05-23 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The Lifshitz theory provides a semiclassical description of the Casimir-Polder atom-plate interaction, where the electromagnetic field is quantized whereas the material of the plate is considered as a continuous medium. This places certain…

Quantum Physics · Physics 2025-04-10 V. M. Mostepanenko

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We extend the Lifshitz theory of the Casimir force to the case of two parallel magnetic metal plates possessing a spatially nonlocal dielectric response. By solving Maxwell equations in the configuration of an electromagnetic wave incident…

Quantum Physics · Physics 2021-10-13 G. L. Klimchitskaya , V. M. Mostepanenko

The Lifshitz formula is well known as a theoretical approach to investigate the Casimir effect at finite temperature. In this Letter, we generalize the Lifshitz formula to the Casimir effect originating from quantum fields at finite…

Quantum Physics · Physics 2025-10-01 Daisuke Fujii , Katsumasa Nakayama , Kei Suzuki

The Casimir and van der Waals interaction between two dissimilar thick dielectric plates is reconsidered on the basis of thermal quantum field theory in Matsubara formulation. We briefly review two main derivations of the Lifshitz formula…

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

The Casimir force between two ideal conducting surfaces is a special (zero temperature) limit of a more general theory due to Lifshitz. The temperature dependent theory includes correlations in coupled quantum and classical fluctuation…

Quantum Physics · Physics 2020-07-03 L. R. Fisher , B. W. Ninham

The frequency spectrum of the finite temperature correction to the Casimir force can be determined by the use of the Lifshitz formalism for metallic plates of finite conductivity. We show that the correction for the TE electromagnetic modes…

Quantum Physics · Physics 2007-05-23 J. R. Torgerson , S. K. Lamoreaux

We demonstrate that the generalization of the Lifshitz theory proposed by L. P. Pitaevskii arXiv:0801.0656 [Phys. Rev. Lett. v.101, 163202 (2008)] violates the Nernst heat theorem for many dielectric materials and is experimentally…

Quantum Physics · Physics 2015-05-13 B. Geyer , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The frequency spectrum of the finite temperature correction to the Casimir force can be determined by use of the Lifshitz formalism for metallic plates of finite conductivity. We show that the correction for the $TE$ electromagnetic modes…

Quantum Physics · Physics 2007-05-23 J. R. Torgerson , S. K. Lamoreaux
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