Semiclassical determinants of Schr{umlt o}dinger operators on bundles with curvature of low rank
Journal Article
·
· Journal of Mathematical Physics
- Division of Mathematics and Science, Nova Southeastern University, Fort Lauderdale, Florida 33314 (United States)
The semiclassical (k{r_arrow}{infinity}) limit of a Schr{umlt o}dinger operator {Delta}{sub k} acting on the kth tensor power of a line bundle is studied. An inductive argument is given to show that a previously derived infinite series representation for the leading term in the large k expansion of lndet{Delta}{sub k} reduces under certain circumstances to simple expressions involving the Riemann zeta function. These results hold when the curvature of the bundle is confined to a single plane at each point. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 526903
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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