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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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	Unavailable
ISBN 13	9783319886787
ISBN 10	3319886789
Title	Covariant Schrödinger Semigroups on Riemannian Manifolds
Author	Batu Gneysu
Series	Operator Theory: Advances And Applications
Condition	Unavailable
Binding Type	Paperback
Publisher	Birkhauser Verlag AG
Year published	2019-06-06
Number of pages	239
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable