2007/08/22 by A. A. Saharian, A. S. Tarloyan
Engineering · Physics and Astronomy · #Boundary value problem #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Mathematical analysis #Mathematical physics #Neumann boundary condition #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Thermal Radiation and Cooling Technologies #Wedge (geometry) #hep-th #quant-ph
paper · pdf · doi:10.1016/j.aop.2008.03.001
published as Annals Phys.323:1588-1603,2008 · 19 pages, 3 figures
arxiv created 2007/08/22 · openalex publication_date 2008/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter inside a wedge with two coaxial cylindrical boundaries. It is assumed that the field obeys Dirichlet boundary condition on bounding surfaces. The application of a variant of the generalized Abel-Plana formula enables to extract from the expectation values the contribution corresponding to the geometry of a wedge with a single shell and to present the interference part in terms of exponentially convergent integrals. The local properties of the vacuum are investigated in various asymptotic regions of the parameters. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. It is shown that the interaction forces between the separate parts of the boundary are always attractive. The generalization to the case of a scalar field with Neumann boundary condition is discussed.