Boundary Shape and Casimir Energy

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Duru, İsmail Hakkı

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BRONZE

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Yes

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Abstract

Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, deformation of a spherical shell is studied. From the deformation of the sphere we show that the Casimir energy is a decreasing function of the surface-to-volume ratio. The decreasing rate is higher for less smooth deformations.

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Keywords

Casimir energy, Quantum mechanics, Vacuum energy, High Energy Physics - Theory, Vacuum energy, High Energy Physics - Theory (hep-th), Casimir energy, FOS: Physical sciences, Quantum mechanics

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Ahmedov, H., and Duru, İ.H. (2009). Boundary shape and Casimir energy. Journal of Physics A: Mathematical and Theoretical, 42(11). doi:10.1088/1751-8113/42/11/115401

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42

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11

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