Schrödinger operators : Eigenvalues and Lieb-Thirring inequalities /
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| 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: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12983213 |
MARC
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| 100 | 1 | |a Frank, Rupert L., |e author. | |
| 245 | 1 | 0 | |a Schrödinger operators : |b Eigenvalues and Lieb-Thirring inequalities / |c Rupert L. Frank, Ari Laptev, Timo Weidl. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2023. | |
| 300 | |a xiii, 507 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a unmediated |2 rdamedia | ||
| 338 | |a volume |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 200 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a "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 | ||
| 650 | 0 | |a Schrödinger operator. | |
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 0 | |a Sobolev spaces. | |
| 650 | 7 | |a Schrödinger operator. |2 fast |0 (OCoLC)fst01108122 | |
| 700 | 1 | |a Laptev, Ari, |e author. | |
| 700 | 1 | |a Weidl, Timo, |e author. | |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 200. | |
| 929 | |a cat | ||
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| 928 | |t Library of Congress classification |a QC174.17.S3 F73 2023 |l JCL |c JCL-Sci |i 13121100 | ||
| 927 | |t Library of Congress classification |a QC174.17.S3 F73 2023 |l JCL |c JCL-Sci |g SEPS |b 118307378 |i 10476278 | ||