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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 calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

High Energy Physics - Theory · Physics 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study the Casimir interaction between a dielectric nanosphere and a metallic plane, using the multiple scattering theory. Exact results are obtained with the dielectric described by a Sellmeier model and the metal by a Drude model.…

We present boundary conditions for the electromagnetic fields on a \delta-function plate, having both electric and magnetic properties, sandwiched between two magneto-electric semi-infinite half spaces. The optical properties for an…

High Energy Physics - Theory · Physics 2017-06-13 Kimball A. Milton , Prachi Parashar , Martin Schaden , K. V. Shajesh

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

The Casimir and Casimir-Polder interactions are investigated in a stack of equally spaced graphene layers. The optical response of the individual graphene is taken into account using gauge invariant components of the polarization tensor…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

In this paper we review different aspects of the dynamical Casimir- Polder potential between a neutral atom and a perfectly conducting plate under nonequilibrium conditions. In order to calculate the time evolution of the atom-wall…

Quantum Physics · Physics 2014-04-10 Riccardo Messina , Roberto Passante , Lucia Rizzuto , Salvatore Spagnolo , Ruggero Vasile

We develop a diagrammatic representation of the Casimir energy of a multibody configuration. The diagrams represent multiple reflections between the objects and can be organized by a few simple rules. The lowest-order diagrams (or…

Quantum Physics · Physics 2015-03-17 Mohammad F. Maghrebi

We utilize an effective field theory approach to calculate Casimir interactions between objects bound to thermally fluctuating fluid surfaces or interfaces. This approach circumvents the complicated constraints imposed by such objects on…

Soft Condensed Matter · Physics 2015-05-19 Cem Yolcu , Ira Z. Rothstein , Markus Deserno

We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the Casimir effect, we present different…

Quantum Physics · Physics 2024-03-04 César D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We compute the Casimir interaction between a plane and a sphere, the configuration employed in the most precise experiments. The scattering formula is developed by taking a suitably chosen plane-wave and multipole basis and is valid for…

Quantum Physics · Physics 2014-09-16 Antoine Canaguier-Durand , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We investigate the role of surface plasmons in the electromagnetic Casimir effect at finite temperature, including situations out of global thermal equilibrium. The free energy is calculated analytically and expanded for different regimes…

Quantum Physics · Physics 2010-08-05 F. Intravaia , H. Haakh , C. Henkel

New techniques for evaluating the closed time path action for non-equilibrium quantum fields are presented. A derivative expansion is performed using a proper time kernel. Applications relevant to the scalar field theory of warm inflation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ian G Moss

Modifications of Casimir-Polder interactions due to confinement inside a cylindrical cavity and due to curvature in- and outside the cavity are studied. We consider a perfectly conducting cylindrical shell with a single particle (atom or…

Statistical Mechanics · Physics 2015-06-23 Pablo Rodriguez-Lopez , Thorsten Emig , Ehsan Noruzifar , Roya Zandi

We derive the Casimir-Polder force and Casimir torque expressions for an anisotropic molecule close to a conducting plane with a tensorial conductivity. We apply our general expressions to the case of a carbon dioxide CO$_2$ molecule close…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Mauro Antezza , Ignat Fialkovsky , Nail Khusnutdinov

In a previous work we formulated a model of semitransparent dielectric surfaces, coupled to the electromagnetic field by means of an effective potential. Here we consider a setup with two dissimilar mirrors, and compute exactly the…

High Energy Physics - Theory · Physics 2023-06-06 F. E. Barone , F. A. Barone

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

The derivative expansion approach to the calculation of the interaction between two surfaces, is a generalization of the proximity force approximation, a technique of widespread use in different areas of physics. The derivative expansion…

Quantum Physics · Physics 2015-06-19 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We consider the Casimir-Polder interaction energy between a metallic nanoparticle and a metallic plate, as well as the Casimir interaction energy between two macroscopic metal plates, in terms of the many-body dispersion interactions…

Quantum Physics · Physics 2015-03-10 Pablo Barcellona , Roberto Passante

We apply general formalism of quantum field theory and addition theorem for Bessel functions to derive formula for the Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball and Casimir energy of a…

High Energy Physics - Theory · Physics 2007-05-23 Valery N. Marachevsky