2008/04/30 by H. Ahmedov, I. H. Duru
Mathematics · Physics and Astronomy · #Boundary value problem #Casimir effect #Casimir pressure #Classical mechanics #Cosmology and Gravitation Theories #Deformation (meteorology) #Geometry #Massless particle #Materials science #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Shell (structure) #Spherical shell #Surface (topology) #Theoretical physics #Vacuum energy #hep-th
paper · pdf · doi:10.1088/1751-8113/42/11/115401
12 pages
arxiv created 2008/10/24 · openalex publication_date 2009/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.