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The Callias index formula revisited[...

Gesztesy, Fritz.

The Callias index formula revisited[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	514.74
書名/作者:	The Callias index formula revisited/ by 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.
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Partial Differential Equations.
標題:	Operator Theory.
標題:	Functional Analysis.
ISBN:	9783319299778
ISBN:	9783319299761
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-29977-8

The Callias index formula revisited[electronic resource] /
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

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

660469
Index theorems.

LC Class. No.: QA614.92

Dewey Class. No.: 514.74

The Callias index formula revisited[electronic resource] /
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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.
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650 1 4 $a Mathematics. $3 172349
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650 2 4 $a Operator Theory. $3 464906
650 2 4 $a Functional Analysis. $3 464114
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