Covariant Schrödinger Semigroups on Riemannian Manifolds 2017 Edition Contributor(s): Güneysu, Batu (Author) |
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ISBN: 3319689029 ISBN-13: 9783319689029 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 2018 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General |
Dewey: 514.74 |
Series: Operator Theory: Advances and Applications |
Physical Information: 0.63" H x 6.14" W x 9.21" (1.19 lbs) 239 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This monograph discusses covariant Schr dinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schr dinger operators has mainly focused on scalar Schr dinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities. The results presented here provide the first systematic study of such operators that is sufficiently general to simultaneously treat the natural operators from quantum mechanics, such as magnetic Schr dinger operators with singular electric potentials, and those from geometry, such as squares of Dirac operators that have smooth but endomorphism-valued and possibly unbounded potentials. The book is largely self-contained, making it accessible for graduate and postgraduate students alike. Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral theory, and mathematical physics.. |