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We investigate the finite-temperature Casimir effect for a (1+1)-dimensional scalar field interacting with a pair of delta-function potentials. We employ the canonical quantization method to compute the Casimir force and entropy,…

Quantum Physics · Physics 2025-10-28 Liang Chen , Xu-Feng Zhao , Shao-Zhe Lu

The Casimir free energy and pressure of thin metal films deposited on metallic plates are considered using the Lifshitz theory and the Drude and plasma model approaches to the role of conduction electrons. The bound electrons are taken into…

Quantum Physics · Physics 2016-04-21 G. L. Klimchitskaya , V. M. Mostepanenko

We show that the quantum reflection coefficient of ultracold heavy atoms scattering off a dielectric surface can be tuned in a wide range by suitable choice of surface and environment temperatures. This effect results from a temperature…

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

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 impedance boundary condition is used to calculate the Casimir force in configurations of two parallel plates and a shpere (spherical lens) above a plate at both zero and nonzero temperature. The impedance approach allows one to find the…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , C. Romero

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frquencies with the aim to see if the…

Quantum Physics · Physics 2015-06-18 M. A. Braun

We derive the fully retarded energy shift of a neutral atom in two different geometries useful for modelling etched microstructures. First we calculate the energy shift due to a reflecting cylindrical wire, and then we work out the energy…

Quantum Physics · Physics 2009-12-07 Claudia Eberlein , Robert Zietal

The Lifshitz formula for the dispersive forces is generalized to the materials, which cannot be described with the local dielectric response. Principal nonlocality of poor conductors is related with the finite screening length of the…

Materials Science · Physics 2008-10-29 Vitaly B. Svetovoy

We demonstrate that Casimir-Polder potentials can be entirely independent of temperature even when allowing for the thermal photon numbers to become large at the relevant molecular transition frequencies. This statement holds for potentials…

Quantum Physics · Physics 2010-10-06 Simen A. Ellingsen , Stefan Yoshi Buhmann , Stefan Scheel

We have calculated dynamical Casimir-Polder interaction force between a moving ground state atom and a flat polarizable surface. The velocity of an atom can be close to the velocity of light. The material properties are taken into account…

Other Condensed Matter · Physics 2015-05-28 G. V. Dedkov , A. A. Kyasov

Starting from the Lifshitz formula for the Casimir force between parallel plates we calculate the difference between the forces at two different settings, one in which the temperature is $T_1=350$ K, the other when $T_2=300$ K. As material…

Quantum Physics · Physics 2007-05-23 I. Brevik , J. B. Aarseth , J. S. Hoye , K. A. Milton

The controversy concerning the temperature correction to the Casimir force has been ongoing for almost a decade with no view to a solution and has recently been extended to include semiconducting materials. We review some theoretical…

Quantum Physics · Physics 2015-05-13 Simen A. Ådnøy Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

We construct the invisible quantum barrier which represents the phenomenon of quantum reflection using the available data. We use the Abel equation to invert the data. The resulting invisible quantum barrier is double-valued in both axes.…

Atomic Physics · Physics 2013-05-29 J. X. de Carvalho , M. S. Hussein , Weibin Li

The thermal correction to the energy of Casimir-Polder interaction of atoms with a suspended graphene membrane described by the Dirac model is investigated. We show that a major impact on the thermal correction is made by the size of the…

Quantum Physics · Physics 2015-06-05 M. Chaichian , G. L. Klimchitskaya , V. M. Mostepanenko , A. Tureanu

The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities…

Quantum Physics · Physics 2009-01-14 I. Brevik , J. B. Aarseth , J. S. Høye , K. A. Milton

We evaluate the Casimir-Polder potential between two atoms in the presence of an infinite perfectly conducting plate and at nonzero temperature. In order to calculate the potential, we use a method based on equal-time spatial correlations…

Quantum Physics · Physics 2009-11-13 R. Passante , S. Spagnolo

It is well known that, beginning in 2000, the behavior of the thermal correction to the Casimir force between real metals has been hotly debated. As was shown by several research groups, the Lifshitz theory, which provides the theoretical…

The Casimir force and free energy at low temperatures has been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material…

Quantum Physics · Physics 2016-08-14 Simen A. Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

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
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