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Schroedinger Operators : Eigenvalues and Lieb-Thirring Inequalities.
・ISBN 978-1-009-21846-7 hard GB£ 71.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-009-21843-6
| 著者・編者 | Frank, Rupert L. / Laptev, Ari / Weidl, Timo, |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2022 |
| ページ数 | 512 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16059＞ |
解説
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.