![The Callias Index Formula Revisited (Lecture Notes in Mathematics) [Repost]](https://pixhost.icu/avaxhome/fb/bb/006bbbfb_medium.jpg)
The Callias Index Formula Revisited (Lecture Notes in Mathematics) [Repost]
![The Callias Index Formula Revisited (Lecture Notes in Mathematics) [Repost]](https://pixhost.icu/avaxhome/fb/bb/006bbbfb.jpg)
The Callias Index Formula Revisited (Lecture Notes in Mathematics) by Fritz Gesztesy, Marcus Waurick
English | July 30, 2016 | ISBN: 331929976X | 204 pages | PDF | 1.73 Mb
English | July 30, 2016 | ISBN: 331929976X | 204 pages | PDF | 1.73 Mb
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-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.
Feel Free to contact me for book requests, informations or feedbacks.
Without You And Your Support We Can’t Continue
Thanks For Buying Premium From My Links For Support
Without You And Your Support We Can’t Continue
Thanks For Buying Premium From My Links For Support