FURTHER FUNCTIONAL DETERMINANTS

Authors
DOWKER JS APPS JS
Citation
Js. Dowker et Js. Apps, FURTHER FUNCTIONAL DETERMINANTS, Classical and quantum gravity, 12(6), 1995, pp. 1363-1383
Citations number
48
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
12
Issue
6
Year of publication
1995
Pages
1363 - 1383
Database
ISI
SICI code
0264-9381(1995)12:6<1363:FFD>2.0.ZU;2-J
Abstract
Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalized cylinders are evaluated in two, three and four dimensions using conformal techniques. Both Diric hlet and Robin boundary conditions are allowed for. Some effects of no n-smooth boundaries are discussed; in particular, the 3-hemiball and t he 3-hemishell are considered. The edge and vertex contributions to th e C-3/2 coefficient are examined.