Zeta function on surfaces of revolution
Jeffres, Thalia D. Kirsten, Klaus Lu, Tianshi
Jeffres, Thalia D.
Kirsten, Klaus
Lu, Tianshi
Citations
Altmetric:
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2012-08-31
Type
Article
Genre
Keywords
Finite-Difference Operators,Boundary-Value-Problems,Vector-Bundles,Determinants,Laplacian,Space,Eigenvalues,Integration
Subjects (LCSH)
Citation
Jeffres, Thalia D.; Kirsten, Klaus; Lu, Tianshi. 2012. Zeta function on surfaces of revolution. Journal of Physics A-Mathematical and Theoretical, v.45 no.34
Abstract
In this paper we applied the contour integral method for the zeta function associated with a differential operator to the Laplacian on a surface of revolution. Using the WKB expansion, we calculated the residues and values of the zeta function at several important points. The results agree with those obtained from the heat kernel expansion. We also obtained a closed form formula for the determinant of the Laplacian on such a surface.
Table of Contents
Description
Click on the DOI link to access the article (may not be free).
Also available in arxive: http://arxiv.org/abs/1211.4043
Also available in arxive: http://arxiv.org/abs/1211.4043
Publisher
IOP Publishing
Journal
Book Title
Series
Journal of Physics A-Mathematical and Theoretical;v.45 no.34
Digital Collection
Finding Aid URL
Use and Reproduction
Archival Collection
PubMed ID
DOI
ISSN
1751-8113