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Casimir energy of a semi-circular infinite cylinder
2001
Journal of Mathematical Physics
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 zeta functions for scalar massless fields obeying the Dirichlet and Neumann boundary conditions on the
doi:10.1063/1.1361064
fatcat:kctknad4hjcf3h3gi3h2a7hcmi