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Catalogue Information
Field name	Details
Dewey Class	514.74
Title	Covariant Schrödinger Semigroups on Riemannian Manifolds ([EBook]) / by Batu Güneysu
Author	Güneysu, Batu
Publication	Cha : Springer International Publishin , 2017.
Physical Details	XVIII, 239 p. : online resource.
Series	Operator theory : advances and applications 0255-0156 ; ; 264
ISBN	9783319689036
Summary Note	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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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.:
Contents note	Sobolev spaces on vector bundles -- Smooth heat kernels on vector bundles -- Basis differential operators on Riemannian manifolds -- Some specific results for the minimal heat kernel -- Wiener measure and Brownian motion on Riemannian manifolds -- Contractive Dynkin potentials and Kato potentials -- Foundations of covariant Schröinger semigroups -- Compactness of resolvents for covariant Schrödinger operators -- L p properties of covariant Schrödinger semigroups -- Continuity properties of covariant Schrödinger semigroups -- Integral kernels for covariant Schr?inger semigroup -- Essential self-adjointness of covariant Schrödinger semigroups -- Form cores -- Applications.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-68903-6
Links to Related Works	Subject References: Global analysis (Mathematics) . Manifolds (Mathematics) . Authors: Güneysu, Batu . Güneysu, Batu . Güneysu, Batu . Series: Operator theory : advances and applications . Classification: 514.74 .

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Covariant Schrödinger Semigroups on Riemannian Manifolds

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