Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems / Mathematical Physics Studies (PDF)
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These criteria allow to extend index theorems to such operator classes.
This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems.
This book is intended for advanced students in mathematical physics and researchers alike.
Tom Stoiber is finishing his Ph.D. studies at the Friedrich-Alexander-University of Erlangen-Nuernberg in 2022, with a thesis on non-commutative geometry and its applications in solid-state physics systems. He is supported by a scholarship from the "Studienstiftung des Deutschen Volkes".
- Autoren: Hermann Schulz-Baldes , Tom Stoiber
- 2022, 1st ed. 2022, 206 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3031122011
- ISBN-13: 9783031122019
- Erscheinungsdatum: 31.12.2022
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