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

The Callias index formula revisited

Gesztesy, Fritz.

The Callias index formula revisited

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Callias index formula revisitedby Fritz Gesztesy, Marcus Waurick.
作者:	Gesztesy, Fritz.
其他作者:	Waurick, Marcus.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	ix, 192 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Index theorems.
電子資源:	http://dx.doi.org/10.1007/978-3-319-29977-8
ISBN:	9783319299778$q(electronic bk.)

The Callias index formula revisited
Gesztesy, Fritz.

The Callias index formula revisited[electronic resource] /by Fritz Gesztesy, Marcus Waurick. - Cham :Springer International Publishing :2016. - ix, 192 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21570075-8434 ;. - Lecture notes in mathematics ;2035..

These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970's, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hormander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

ISBN: 9783319299778$q(electronic bk.)

Standard No.: 10.1007/978-3-319-29977-8doiSubjects--Topical Terms:

750337
Index theorems.

LC Class. No.: QA614.92

Dewey Class. No.: 514.74

The Callias index formula revisited
LDR:01886nmm a2200313 a 4500 001 490758
003 DE-He213
005 20161129112434.0
006 m d
007 cr nn 008maaau
008 170118s2016 gw s 0 eng d
020 $a 9783319299778$q(electronic bk.)
020 $a 9783319299761$q(paper)
024 7 $a 10.1007/978-3-319-29977-8 $2 doi
035 $a 978-3-319-29977-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.92
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 514.74 $2 23
090 $a QA614.92 $b .G393 2016
100 1 $a Gesztesy, Fritz. $3 323071
245 1 4 $a The Callias index formula revisited $h [electronic resource] / $c by Fritz Gesztesy, Marcus Waurick.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a ix, 192 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2157
520 $a These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970's, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hormander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.
650 0 $a Index theorems. $3 750337
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Waurick, Marcus. $3 750336
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-29977-8
950 $a Mathematics and Statistics (Springer-11649)