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Item Details
| Title:
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THE CALLIAS INDEX FORMULA REVISITED
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| Volume: |
2016 |
| By: |
Fritz Gesztesy, Marcus Waurick |
| Format: |
Paperback |
| List price:
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£26.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
331929976X |
| ISBN 13: |
9783319299761 |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
29 June, 2016 |
| Edition: |
2016 ed. |
| Series: |
Lecture Notes in Mathematics 2157 |
| Pages: |
192 |
| Synopsis: |
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. |
| Illustrations: |
1 black & white illustrations, biography |
| Publication: |
Switzerland |
| Imprint: |
Springer International Publishing AG |
| Returns: |
Returnable |
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