Mathematics / Matematik

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Author: search.filters.author.Ahmedov, HacıSubject: search.filters.subject.Quantum mechanics

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  • Article
    Boundary Shape and Casimir Energy
    (IOP Publishing Ltd., 2009) Ahmedov, Hacı; Duru, İsmail Hakkı; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.