The Callias Index Formula Revisited
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The Callias Index Formula Revisited
Author | : Fritz Gesztesy,Marcus Waurick |
Publsiher | : Springer |
Total Pages | : 192 |
Release | : 2016-06-28 |
Genre | : Mathematics |
ISBN | : 9783319299778 |
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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.
Spectral Flow
Author | : Nora Doll,Hermann Schulz-Baldes,Nils Waterstraat |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 460 |
Release | : 2023-06-19 |
Genre | : Mathematics |
ISBN | : 9783111172477 |
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Scale Space and Canon in Ancient Literary Culture
Author | : Reviel Netz |
Publsiher | : Cambridge University Press |
Total Pages | : 905 |
Release | : 2020-02-20 |
Genre | : History |
ISBN | : 9781108481472 |
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A history of ancient literary culture told through the quantitative facts of canon, geography, and scale.
Progress in Physics vol 4 2016
Author | : Dmitri Rabounski ,Florentin Smarandache, Larissa Borissova |
Publsiher | : Infinite Study |
Total Pages | : 72 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
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The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics
Choral Constructions in Greek Culture
Author | : Deborah Tarn Steiner |
Publsiher | : Cambridge University Press |
Total Pages | : 785 |
Release | : 2021-04-22 |
Genre | : Art |
ISBN | : 9781107110687 |
Download Choral Constructions in Greek Culture Book in PDF, Epub and Kindle
Demonstrates the centrality of chorality in the social, religious and technological practices of individuals and communities.
Beyond Infinity
Author | : Eugenia Cheng |
Publsiher | : Profile Books |
Total Pages | : 204 |
Release | : 2017-03-09 |
Genre | : Mathematics |
ISBN | : 9781782830818 |
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SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Novikov Conjectures Index Theorems and Rigidity Volume 1
Author | : Steven C. Ferry,Andrew Ranicki,Jonathan M. Rosenberg,London Mathematical Society |
Publsiher | : Cambridge University Press |
Total Pages | : 386 |
Release | : 1995-11-23 |
Genre | : Mathematics |
ISBN | : 9780521497961 |
Download Novikov Conjectures Index Theorems and Rigidity Volume 1 Book in PDF, Epub and Kindle
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.
Index of Conference Proceedings
Author | : British Library. Document Supply Centre |
Publsiher | : Unknown |
Total Pages | : 844 |
Release | : 1999 |
Genre | : Conference proceedings |
ISBN | : STANFORD:36105024775129 |
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