Schroedinger Operators: Eigenvalues and Lieb-Thirring Inequalities (Hardcover)

The analysis of eigenvalues of Laplace and Schroedinger 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 Schroedinger 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Studies in Advanced Mathematics
Release date:	November 2022
Authors:	Rupert L. Frank • Ari Laptev • Timo Weidl
Dimensions:	229 x 152 x 33mm (L x W x T)
Format:	Hardcover
Pages:	512
ISBN-13:	978-1-00-921846-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-00-921846-8
Barcode:	9781009218467

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