Produkt
KlappentextThese 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-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.
Zusammenfassung
Offers a new, functional analytic approach to the Callias index theorem and generalises it considerably
Give a very detailed history and explain the background in great detail
Shows very clearly the connections with other areas throughout the manuscript
Includes supplementary material: sn.pub/extras
Offers a new, functional analytic approach to the Callias index theorem and generalises it considerably
Give a very detailed history and explain the background in great detail
Shows very clearly the connections with other areas throughout the manuscript
Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-29976-1
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum29.06.2016
Auflage1st ed. 2016
Seiten192 Seiten
SpracheEnglisch
Gewicht318 g
IllustrationenIX, 192 p. 1 illus.
Artikel-Nr.36894162
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