2012/04/30 by H. Pejhan, M. Reza Tanhayi, M.R. Tanhayi +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Canonical quantization #Casimir effect #Massless particle #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum Electrodynamics and Casimir Effect #Scalar (mathematics) #Scalar field #Scalar field theory #math-ph #math.MP
paper · pdf · doi:10.1016/j.aop.2013.12.007
published as Annals Phys. 341 (2014) 195-204 · 10 pages, no figure, references added, conclusion has been improved, published version, to appear in Annals of Physics
arxiv created 2013/12/13 · openalex publication_date 2013/12/13 · openalex created_date 2016/06/24 · arxiv updated 2018/08/16 · openalex updated_date 2026/08/05
In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this technique, the field operators are constructed from both negative and positive norm states. Having understood that negative norm states are un-physical, they are only used as a mathematical tool for renormalizing the theory and then one can get rid of them by imposing some proper physical conditions.