Schrödinger operators : Eigenvalues and Lieb-Thirring inequalities /

Schrödinger operators : Eigenvalues and Lieb-Thirring inequalities /

Saved in:

Bibliographic Details
Author / Creator:	Frank, Rupert L., author.
Imprint:	Cambridge : Cambridge University Press, 2023.
Description:	xiii, 507 pages : illustrations ; 24 cm.
Language:	English
Series:	Cambridge studies in advanced mathematics ; 200 Cambridge studies in advanced mathematics ; 200.
Subject:	Schrödinger operator. Spectral theory (Mathematics) Sobolev spaces. Schrödinger operator.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12983213

Hidden Bibliographic Details
Other authors / contributors:	Laptev, Ari, author. Weidl, Timo, author.
ISBN:	9781009218467 1009218468
Notes:	Includes bibliographical references and index.
Summary:	"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."- publisher

Table of Contents:

Part I. Background Material:
Elements of operator theory
Elements of Sobolev space theory
Part II. The Laplace and Schrödinger Operators:
The Laplacian on a domain
The Schrödinger operator
Part III. Sharp Constants in Lieb-Thirring Inequalities:
Sharp Lieb-Thirring inequalities
Sharp Lieb-Thirring inequalities in higher dimensions
More on sharp Lieb-Thirring inequalities
More on the Lieb-Thirring constants.