東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The Callias index formula revisited

Gesztesy, Fritz.

Linked to FindBook

Google Book

Amazon

博客來

The Callias index formula revisited

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Callias index formula revisited/ by Fritz Gesztesy, Marcus Waurick.
Author:	Gesztesy, Fritz.
other author:	Waurick, Marcus.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	ix, 192 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Index theorems. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-29977-8
ISBN:	9783319299778

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 ;2046..

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

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

589026
Index theorems.

LC Class. No.: QA614.92

Dewey Class. No.: 514.74

The Callias index formula revisited
LDR:01886nmm a2200313 a 4500 001 2041593
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 1898623
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 589026
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Waurick, Marcus. $3 2200310
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2046. $3 1534285
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-29977-8
950 $a Mathematics and Statistics (Springer-11649)