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Casimir interactions between macroscopic objects are strongly influenced by their geometrical features as shape and orientation as well as by their material properties. The effect of geometry is commonly obtained from the proximity…

统计力学 · 物理学 2007-05-23 Thorsten Emig

In this paper, the finite temperature Casimir force acting on a two-dimensional Casimir piston due to electromagnetic field is computed. It was found that if mixed boundary conditions are assumed on the piston and its opposite wall, then…

高能物理 - 理论 · 物理学 2009-03-19 L. P. Teo

We report on the first measurement of a temperature dependence of the Casimir-Polder force. This measurement was obtained by positioning a nearly pure 87-Rb Bose-Einstein condensate a few microns from a dielectric substrate and exciting its…

原子物理 · 物理学 2007-05-23 J. M. Obrecht , R. J. Wild , M. Antezza , L. P. Pitaevskii , S. Stringari , E. A. Cornell

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

统计力学 · 物理学 2008-03-14 Daniel Grüneberg , H. W. Diehl

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…

介观与纳米尺度物理 · 物理学 2021-03-10 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel plates and satisfying Dirichlet boundary conditions at the plates. A…

高能物理 - 理论 · 物理学 2013-11-13 Andrea Erdas , Kevin P. Seltzer

We analyse the potential of the geometry of a slab in a planar cavity for the purpose of Casimir force experiments. The force and its dependence on temperature, material properties and finite slab thickness are investigated both…

量子物理 · 物理学 2008-11-26 Simen A. Ellingsen , Iver Brevik

We study the finite temperature Casimir effect for parallel plates in the $\kappa$-Minkowski space-time. Using the Matsubara formalism and imposing the Dirichlet boundary conditions on a massless $\kappa$-scalar field, we compute the…

高能物理 - 理论 · 物理学 2026-02-13 Suman Kumar Panja , Vishnu Rajagopal

We develop a mathematically precise framework for the Casimir effect. Our working hypothesis, verified in the case of parallel plates, is that only the regularization-independent Ramanujan sum of a given asymptotic series contributes to the…

高能物理 - 理论 · 物理学 2011-09-13 Luiz A. Manzoni , Walter F. Wreszinski

The Casimir-Lifshitz interaction, a long-range force that arises between solids and molecules due to quantum fluctuations in electromagnetic fields, has been widely studied in solid-state physics. The degree of polarization in this…

材料科学 · 物理学 2023-08-01 M. Boström , M. Rizwan Khan , H. R. Gopidi , I. Brevik , Y. Li , C. Persson , O. I. Malyi

This article reviews recent progress on the geometry dependence of Casimir interactions and presents some applications to nanosystems. The article consists of three parts: (i) Some examples for geometry dependence: structured surfaces,…

统计力学 · 物理学 2009-01-30 Thorsten Emig

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

材料科学 · 物理学 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We argue that the temperature inversion symmetry present in the original Casimir setup and also in other Casimir systems for which symmetrical boundary conditions are imposed is not related to the duality transformations that in the context…

高能物理 - 理论 · 物理学 2007-05-23 F C Santos , A C Tort

We generalize the derivative expansion (DE) approach to the interaction between almost-flat smooth surfaces, to the case of surfaces which are optimally described in cylindrical coordinates. As in the original form of the DE, the obtained…

高能物理 - 理论 · 物理学 2017-12-01 Julio David Melon Fuksman , César Daniel Fosco

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

高能物理 - 理论 · 物理学 2008-11-26 A. Romeo , A. A. Saharian

The Casimir force between metallic plates made of realistic materials is evaluated for distances in the nanometer range. A spectrum over real frequencies is introduced and shows narrow peaks due to surface resonances (plasmon polaritons or…

The surface impedance approach is discussed in connection with the precise calculation of the Casimir force between metallic plates. It allows to take into account the nonlocal connection between the current density and electric field…

量子物理 · 物理学 2009-11-10 R. Esquivel , V. Svetovoy

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…

量子物理 · 物理学 2007-05-23 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We consider the Casimir energy due to a massless scalar field in a geometry of an infinite wedge closed by a Dirichlet circular cylinder, where the wedge is formed by $\delta$-function potentials, so-called semitransparent boundaries. A…

高能物理 - 理论 · 物理学 2010-01-07 Kimball A. Milton , Jef Wagner , Klaus Kirsten

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

量子物理 · 物理学 2009-11-07 Timothy H. Boyer