Casimir energy of a semi-circular infinite cylinder
نویسندگان
چکیده
منابع مشابه
Casimir Energy of a Semi-Circular Infinite Cylinder
The Casimir energy of a semi-circular cylindrical shell is calculated by making use of the zeta function technique. This shell is obtained by crossing an infinite circular cylindrical shell by a plane passing through the symmetry axes of the cylinder and by considering only a half of this configuration. All the surfaces, including the cutting plane, are assumed to be perfectly conducting. The z...
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In this paper we calculate the Casimir energy for a dielectric-diamagnetic cylinder with the speed of light differing on the inside and outside. Although the result is in general divergent, special cases are meaningful. The well-known results for a uniform speed of light are reproduced. The self-stress on a purely dielectric cylinder is shown to vanish through second order in the deviation of t...
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Abstract. We study the electrostatic Casimir effect and related phenomena in equilibrium statistical mechanics of classical (non-quantum) charged fluids. The prototype model consists of two identical dielectric slabs in empty space (the pure Casimir effect) or in the presence of an electrolyte between the slabs. In the latter case, it is generally believed that the long-ranged Casimir force due...
متن کاملNote on a Casimir Energy Calculation for a Purely Dielectric Cylinder by Mode Summation
We comment on a recent calculation of the zero-point energy for a dilute and infinitely long cylinder of purely-dielectric material. The vanishing result predicted by integration of van der Waals potentials is obtained. PACS numbers: 42.50.Pq, 42.50.Lc, 11.10.Gh, 03.50.De The Casimir effect is a change in the electromagnetic vacuum fluctuations brought about by the presence of boundaries. Parti...
متن کاملCasimir Energy of a Ball and Cylinder in the Zeta Function Technique
A simple method is proposed to construct the spectral zeta functions required for calculating the electromagnetic vacuum energy with boundary conditions given on a sphere or on an infinite cylinder. When calculating the Casimir energy in this approach no exact divergencies appear and no renormalization is needed. The starting point of the consideration is the representation of the zeta function...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2001
ISSN: 0022-2488
DOI: 10.1063/1.1361064