Operator theory advances and applications covariant schr dinger semigroups on riemannian manifolds
Uiterlijk 7 december in huis
This monograph discusses covariant Schrödinger 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 Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far.
This monograph discusses covariant Schrödinger 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 Schrödinger operators has mainly focused on scalar Schrödinger 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 Schrödinger 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 postgraduatestudents 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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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.
- 1 Bekijk alle specificaties
Taal: en
Bindwijze: Paperback
Oorspronkelijke releasedatum: 06 juni 2019
Aantal pagina's: 239
Illustraties: Nee
Hoofdauteur: Batu Guneysu
Hoofduitgeverij: Birkhauser Verlag Ag
Editie: Softcover reprint of the original 1st ed. 2017
Extra groot lettertype: Nee
Product breedte: 155 mm
Product lengte: 235 mm
Studieboek: Nee
Verpakking breedte: 155 mm
Verpakking hoogte: 235 mm
Verpakking lengte: 235 mm
Verpakkingsgewicht: 454 g
EAN: 9783319886787