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ISBN 10: 331929976X ISBN 13: 9783319299761
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Paperback. Condition: New. 1st ed. 2016. 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.
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Condition: New. pp. 204 1st ed. 2016 edition NO-PA16APR2015-KAP.
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Published by Berlin, Springer Nature, 2016
ISBN 10: 331929976X ISBN 13: 9783319299761
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04217 9783319299761 Sprache: Englisch Gewicht in Gramm: 550.
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Published by Springer, Springer Nature Switzerland Okt 2025, 2025
ISBN 10: 3032019303 ISBN 13: 9783032019301
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Taschenbuch. Condition: Neu. Neuware -Chapter 1. Introduction.- Chapter 2. The main theorems.- Chapter 3. Abstract divergence-form operators.- Chapter 4. The one-dimensional problem well-posedness.- Chapter 5. SturmLiouville problems with indefinite coeffcients.- Chapter 6. The higher-dimensional problem preliminaries.- Chapter 7. The higher dimensional problem well-posedness.- Chapter 8. The inner spectrum in d dimensions.- Chapter 9. Classical G-convergence.- Chapter 10. Holomorphic G-convergence.- Chapter 11. The one-dimensional problem homogenisation.- Chapter 12. The higher-dimensional problem homogenisation.- Chapter 13. Proofs.- Chapter 14. Conclusion.
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Paperback or Softback. Condition: New. Homogenisation of Laminated Metamaterials and the Inner Spectrum. Book.
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