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In this work we analyze the Casimir energy and force for a {\it thick} piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force…

High Energy Physics - Theory · Physics 2016-02-26 Guglielmo Fucci

We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta's finite-temperature field theory, combined with the…

Statistical Mechanics · Physics 2025-11-14 P. E. Brandyshev , Yu. A. Budkov

This paper presents comprehensive calculations for thermal and first-order radiative corrections to the Casimir energy in systems involving self-interacting massive and massless scalar fields coupled with {\ae}ther in a fifth compact…

High Energy Physics - Theory · Physics 2024-08-14 M. A. Valuyan

We calculate the universal part of the free energy of certain finite two- dimensional regions at criticality by use of conformal field theory. Two geometries are considered: a section of a circle ("pie slice") of angle \phi and a helical…

Condensed Matter · Physics 2009-10-28 Peter Kleban , Ingo Peschel

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

The Casimir energy, free energy and Casimir force are evaluated, at arbitrary finite temperature, for a dilute dielectric ball with uniform velocity of light inside the ball and in the surrounding medium. In particular, we investigate the…

High Energy Physics - Theory · Physics 2009-10-31 I. Klich , J. Feinberg , A. Mann , M. Revzen

The phenomenon of particle creation within an almost resonantly vibrating cavity with losses is investigated for the example of a massless scalar field at finite temperature. A leaky cavity is designed via the insertion of a dispersive…

Quantum Physics · Physics 2008-08-28 G. Schaller , R. Schützhold , G. Plunien , G. Soff

We proceed with the study of the Casimir force for parallel plates at finite temperature in the Horava-Lifshitz (HL) theory. We find that the HL exponent can not be chosen as an integer, or the Casimir energy will be a constant and further…

High Energy Physics - Theory · Physics 2022-12-06 Hongbo Cheng

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

We compute the Casimir thermodynamic quantities for a massive fermion field between two parallel plates with the MIT boundary conditions, using three different general approaches and present explicit solutions for each. The Casimir…

High Energy Physics - Theory · Physics 2022-03-15 M. Sasanpour , C. Ajilyan , S. S. Gousheh

We investigate the Casimir pressure between two parallel plates made of magnetic materials at nonzero temperature. It is shown that for real magnetodielectric materials only the magnetic properties of ferromagnets can influence the Casimir…

Quantum Physics · Physics 2015-05-14 G. L. Klimchitskaya , B. Geyer , V. M. Mostepanenko

Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The…

General Physics · Physics 2016-08-30 H. Razmi , M. Abtahi

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

We investigate the thermodynamical aspects of the Casimir effect in the case of plane parallel plates made of real metals. The thermal corrections to the Casimir force between real metals were recently computed by several authors using…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

We present a general extension of a field-theoretic approach developed in earlier papers to the calculation of the free energy of symmetrically layered electrolytic systems which is based on the Sine-Gordon field theory for the Coulomb gas.…

Soft Condensed Matter · Physics 2009-11-11 D. S. Dean , R. R. Horgan

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

Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations for TE…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

We investigate the Casimir effect in the systems that consist of parallel but misaligned finite-size plates from the point of view of zero-point energy. We elaborate the zero-point energies of the radiation field in the perfect conductor…

High Energy Physics - Theory · Physics 2022-12-07 Zhentao Zhang

We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration…

Quantum Physics · Physics 2015-05-20 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. Lopez , V. M. Mostepanenko

The dependence of the Casimir force on material properties is important for both future applications and to gain further insight on its fundamental aspects. Here we derive a general theory of the Casimir force for low-conducting compounds,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. G. Galkina , B. A. Ivanov , Sergey E. Savel'ev , V. A. Yampol'skii , Franco Nori