Covariant Schrödinger Semigroups on Riemannian Manifolds by Batu Gneysu

Covariant Schrödinger Semigroups on Riemannian Manifolds by Batu Gneysu

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 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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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..

SKU	Nicht verfügbar
ISBN 13	9783319886787
ISBN 10	3319886789
Titel	Covariant Schrödinger Semigroups on Riemannian Manifolds
Autor	Batu Gneysu
Serie	Operator Theory: Advances And Applications
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Birkhauser Verlag AG
Erscheinungsjahr	2019-06-06
Seitenanzahl	239
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar