Regularized Green’s function and group of reflections in a cavity with triangular cross section

For a certain class of triangles (with angles proportional to {pi}/N, N {>=} 3) we formulate the image method by making use of the group G{sub N} generated by reflections with respect to three lines which form the triangle under consideration. A regularized Green's function (which is employe...

Full description

Saved in:
Bibliographic Details
Published inPhysics of atomic nuclei Vol. 68; no. 10; pp. 1621 - 1624
Main Authors Ahmedov, H., Duru, I. H.
Format Journal Article
LanguageEnglish
Published United States 01.10.2005
Subjects
CASIMIR EFFECT
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CROSS SECTIONS
GREEN FUNCTION
GROUP THEORY
NUCLEAR PHYSICS AND RADIATION PHYSICS
REFLECTION
RENORMALIZATION
Online AccessGet full text

Cover

More Information
Summary:For a certain class of triangles (with angles proportional to {pi}/N, N {>=} 3) we formulate the image method by making use of the group G{sub N} generated by reflections with respect to three lines which form the triangle under consideration. A regularized Green's function (which is employed in Casimir energy calculations) is obtained by classification of subgroups of G{sub N} and corresponding fixed points in the triangle.
ISSN:1063-7788
1562-692X
DOI:10.1134/1.2121907