2003/06/26 by H. Ahmedov, I. H. Duru
Mathematics · Physics and Astronomy · #Casimir effect #Class (philosophy) #Classical mechanics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Energy (signal processing) #Geometry #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Renormalization group #Scalar (mathematics) #Section (typography) #hep-th
paper · pdf · doi:10.1063/1.1643196
published as J.Math.Phys. 45 (2004) 965 · Latex, 13 pages
arxiv created 2003/06/26 · openalex publication_date 2004/02/12 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
For a certain class of triangles (with angles proportional to π/N, N⩾3) we formulate an image method by making use of the group GN generated by reflections with respect to the three lines which form the triangle under consideration. We formulate the regularization procedure by classification of subgroups of GN and corresponding fixed points in the triangle. We then also calculate Casimir energy for a cavity of infinite height with triangular cross section for scalar massless fields. More detailed calculation is given for odd N.