Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities (Cambridge Studies in Advanced Mathematics, Series Number 200) - Hardcover

Frank, Rupert L.; Laptev, Ari; Weidl, Timo

Hardcover

ISBN 10: 1009218468 ISBN 13: 9781009218467

Publisher: Cambridge University Press, 2022

Synopsis

The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.

About this title

About the Authors

Rupert L. Frank holds a chair in applied mathematics at LMU Munich and is doing research primarily in analysis and mathematical physics. He is an invited speaker at the 2022 International Congress of Mathematics.

Ari Laptev is Professor at Imperial College London. His research interests include different aspects of spectral theory and functional inequalities. He is a member of the Royal Swedish Academy of Science, a Fellow of EurASc and a member of Academia Europaea.

Timo Weidl is Professor at the University of Stuttgart. He works on spectral theory and mathematical physics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2022
• Language: English
• ISBN 10: 1009218468
• ISBN 13: 9781009218467
• Binding: Hardcover
• Number of pages: 512