Schrödinger operators Eigenvalues and Lieb-Thirring inequalities
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...
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Cambridge University Press
2023
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| Schriftenreihe: | Cambridge studies in advanced mathematics
200 |
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| 100 | 1 | |a Frank, Rupert L. | |
| 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 | |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 200 | |
| 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. | ||
| 700 | 1 | |a Laptev, Ari | |
| 700 | 1 | |a Weidl, Timo | |
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| spelling | Frank, Rupert L. Schrödinger operators Eigenvalues and Lieb-Thirring inequalities Rupert L. Frank, Ari Laptev, Timo Weidl Cambridge Cambridge University Press 2023 1 Online-Ressource (xiii, 507 Seiten) txt c cr Cambridge studies in advanced mathematics 200 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. Laptev, Ari Weidl, Timo Erscheint auch als Druck-Ausgabe 9781009218467 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/9781009218436 Volltext |
| spellingShingle | Frank, Rupert L. Schrödinger operators Eigenvalues and Lieb-Thirring inequalities |
| title | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities |
| title_auth | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities |
| title_exact_search | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities |
| title_full | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities Rupert L. Frank, Ari Laptev, Timo Weidl |
| title_fullStr | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities Rupert L. Frank, Ari Laptev, Timo Weidl |
| title_full_unstemmed | Schrödinger operators Eigenvalues and Lieb-Thirring inequalities Rupert L. Frank, Ari Laptev, Timo Weidl |
| title_short | Schrödinger operators |
| title_sort | schrodinger operators eigenvalues and lieb thirring inequalities |
| title_sub | Eigenvalues and Lieb-Thirring inequalities |
| url | https://doi.org/10.1017/9781009218436 |
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