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The dynamical Casimir effect for the ideal case of two perfectly conducting non-charged parallel plates, is discussed using the zero-point energy summation method to the first order in perturbation theory. We show that it is possible to…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Sassaroli , Y. N. Srivastava , J. Swain , A. Widom

The Casimir-Polder interaction energy between a unipolarizable point atom and a unipolarizable dielectric ring has been limited, until now, to the case when the atom is confined on the axis of symmetry of the ring. We find the generalized…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Niranjan Warnakulasooriya , John Joseph Marchetta , Prachi Parashar , K. V. Shajesh

General formalism of quantum field theory and addition theorem for Bessel functions are applied to derive formula for Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball. The equivalence of…

High Energy Physics - Theory · Physics 2009-10-31 Valery N. Marachevsky

Size extensivity, defined as the correct scaling of energy with system size, is a desirable property for any many-body method. Traditional CI methods are not size extensive hence the error increases as the system gets larger. Coupled…

Chemical Physics · Physics 2022-07-27 Vibin Abraham , Nicholas J. Mayhall

We study universal Casimir interactions in two configurations which appear as dual to each other. The first involves spheres described by the Drude model and separated by vacuum while the second involves dielectric spheres immersed in a…

We investigate the Casimir effect in the context of a nontrivial topology by means of a generalized Matsubara formalism. This is performed in the context of a scalar field in $D$ Euclidean spatial dimensions with $d$ compactified…

Quantum Physics · Physics 2016-08-05 Andreson L. C. Rego , C. A. Linhares , A. P. C. Malbouisson

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

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

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as…

Quantum Physics · Physics 2008-11-26 T. Emig , R. L. Jaffe

Recently the influence of dielectric and geometrical properties on the Casimir force between dispersing and absorbing multilayered plates in the zero-temperature limit has been studied within a 1D quantization scheme for the electromagnetic…

Quantum Physics · Physics 2016-08-16 Christian Raabe , Ludwig Knöll , Dirk-Gunnar Welsch

We examine the thermal pairwise entanglement in a symmetric system of $n$ spins fully connected through anisotropic $XYZ$-type couplings embedded in a transverse magnetic field. We consider both the exact evaluation together with that…

Quantum Physics · Physics 2015-05-28 Juan Mauricio Matera , Raul Rossignoli , Norma Canosa

We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature $\beta$ satisfies $\beta>1$. For large $\beta$, separation is obtained at the same scale as the conjectural…

Probability · Mathematics 2017-12-06 Yacin Ameur

Recently it has been suggested that relativistic Bose gas of some type can be playing role in issues like dark matter, dark energy, and in some cosmological problems. In the current article we investigate one known exactly solvable model of…

Statistical Mechanics · Physics 2020-08-26 Daniel Dantchev

The Casimir force between a pair of parallell plates filled with ionic particles is considered. We use a statistical mechanical approach and consider the classical high temperature limit. In this limit the ideal metal result with no…

Statistical Mechanics · Physics 2009-03-18 J. S. Høye

We consider the thermal Casimir effect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed in such a fluid in spatial…

Statistical Mechanics · Physics 2023-07-19 Marcin Pruszczyk , Paweł Jakubczyk

In this paper, we study the Casimir effect in the classical geometry of two parallel conducting plates, separated by a distance $L$, due to the presence of a minimal length $\lambda$ arising from a background independent (polymer)…

High Energy Physics - Phenomenology · Physics 2020-02-26 C. A. Escobar , E. Chan-López , A. Martín-Ruiz

The Casimir friction problem can be dealt with in a simplified way by considering two harmonic oscillators moving with constant relative velocity. Recently we calculated the energy dissipation for such a case, [EPL {\bf 91}, 60003 (2010);…

Quantum Physics · Physics 2011-11-08 Johan S. Høye , Iver Brevik

We study the Casimir-Polder interaction at finite temperatures between a polarizable small, anisotropic particle and a non-planar surface using a derivative expansion. We obtain the leading and the next-to-leading curvature corrections to…

Quantum Physics · Physics 2015-05-20 Giuseppe Bimonte , Thorsten Emig

We present a novel approach to reduce the thermal conductivity ($\kappa$) in thermoelectric composite materials using acoustic impedance mismatch and the Debye model. Also, the correlation between interface thermal resistance (R$_{int}$)…

Materials Science · Physics 2023-03-07 Ashutosh Kumar , Artur Kosonowski , Piotr Wyzga1 , Krzysztof T. Wojciechowski

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

We consider here, a two-atom system is uniformly moving through a circular ring at an ultra-relativistic speed and weakly interacting with common external fields. The vacuum fluctuations of the quantum fields generate the entanglement…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Saptarshi Saha , Chiranjeeb Singha , Arpan Chatterjee