Casimir energy inside a triangle

Abstract

For certain class of triangles (with angles proportional to $\frπ{N}$, $N\ge 3$) we formulate image method by making use of the group $G_N$ generated by reflections with respect to the three lines which form the triangle under consideration. We formulate the renormalization procedure by classification of subgroups of $G_N$ and corresponding fixed points in the triangle. We also calculate Casimir energy for such geometries, for scalar massless fields. More detailed calculation is given for odd $N$.

Latex, 13 pages

References in corpus (1)

• Casimir force between surfaces close to each other

Cited by in corpus (3)

• Casimir Energies of Cylinders: Universal Function
• Casimir Energy for a Wedge with Three Surfaces and for a Pyramidal Cavity
• Casimir Energy in a Conical Wedge and a Conical Cavity