| 书目名称 | Covariant Schrödinger Semigroups on Riemannian Manifolds |
| 编辑 | Batu Güneysu |
| 视频video | |
| 概述 | Develops basic vector-bundle-valued objects of geometric analysis from scratch.Gives a detailed proof of the Feynman-Kac fomula with singular potentials on manifolds.Includes previously unpublished re |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | .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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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, a |
| 出版日期 | Book 2017 |
| 关键词 | covariant Schrödinger semigroup; heat semigroup; Schrödinger operators; Brownian motion on manifolds; sp |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-68903-6 |
| isbn_softcover | 978-3-319-88678-7 |
| isbn_ebook | 978-3-319-68903-6Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 18:58:23
