國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Covariant Schrodinger semigroups on ...

Guneysu, Batu.

Covariant Schrodinger semigroups on Riemannian manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Covariant Schrodinger semigroups on Riemannian manifoldsby Batu Guneysu.
作者:	Guneysu, Batu.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xviii, 239 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Riemannian manifolds.
電子資源:	http://dx.doi.org/10.1007/978-3-319-68903-6
ISBN:	9783319689036$q(electronic bk.)

Covariant Schrodinger semigroups on Riemannian manifolds
Guneysu, Batu.

Covariant Schrodinger semigroups on Riemannian manifolds[electronic resource] /by Batu Guneysu. - Cham :Springer International Publishing :2017. - xviii, 239 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2640255-0156 ;. - Operator theory: advances and applications ;v.219..

This monograph discusses covariant Schrodinger 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 Schrodinger operators has mainly focused on scalar Schrodinger 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 Schrodinger 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 Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral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.

ISBN: 9783319689036$q(electronic bk.)

Standard No.: 10.1007/978-3-319-68903-6doiSubjects--Topical Terms:

190949
Riemannian manifolds.

LC Class. No.: QA649

Dewey Class. No.: 516.373

Covariant Schrodinger semigroups on Riemannian manifolds
LDR:02221nmm a2200313 a 4500 001 525757
003 DE-He213
005 20171222110554.0
006 m d
007 cr nn 008maaau
008 180918s2017 gw s 0 eng d
020 $a 9783319689036$q(electronic bk.)
020 $a 9783319689029$q(paper)
024 7 $a 10.1007/978-3-319-68903-6 $2 doi
035 $a 978-3-319-68903-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA649
072 7 $a PBKS $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 516.373 $2 23
090 $a QA649 $b .G975 2017
100 1 $a Guneysu, Batu. $3 798187
245 1 0 $a Covariant Schrodinger semigroups on Riemannian manifolds $h [electronic resource] / $c by Batu Guneysu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xviii, 239 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.264
520 $a This monograph discusses covariant Schrodinger 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 Schrodinger operators has mainly focused on scalar Schrodinger 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 Schrodinger 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.
650 0 $a Riemannian manifolds. $3 190949
650 0 $a Semigroups. $3 239334
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
650 2 4 $a Partial Differential Equations. $3 274075
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-68903-6
950 $a Mathematics and Statistics (Springer-11649)