The Callias Index Formula Revisited - Lecture Notes in Mathematics 2157 (Paperback)
  • The Callias Index Formula Revisited - Lecture Notes in Mathematics 2157 (Paperback)
zoom

The Callias Index Formula Revisited - Lecture Notes in Mathematics 2157 (Paperback)

(author), (author)
£26.99
Paperback 192 Pages / Published: 29/06/2016
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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-Hoermander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

Publisher: Springer International Publishing AG
ISBN: 9783319299761
Number of pages: 192
Weight: 3168 g
Dimensions: 235 x 155 x 11 mm
Edition: 1st ed. 2016

You may also be interested in...

Please sign in to write a review

Your review has been submitted successfully.