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 materia...
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| Beteiligte Personen: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
200 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009218436 https://doi.org/10.1017/9781009218436 https://doi.org/10.1017/9781009218436 https://doi.org/10.1017/9781009218436 https://doi.org/10.1017/9781009218436 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (xiii, 507 Seiten) |
| ISBN: | 9781009218436 |
| DOI: | 10.1017/9781009218436 |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781009218436 |
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| spelling | Frank, Rupert L. 1978- Verfasser (DE-588)1236600002 aut Schrödinger operators eigenvalues and Lieb-Thirring inequalities Rupert L. Frank (Ludwig-Maximilians-Universität München), Ari Laptev (Imperial College of Science, Technology and Medicine, London), Timo Weidl (Universität Stuttgart) Cambridge Cambridge University Press 2023 1 Online-Ressource (xiii, 507 Seiten) txt rdacontent c rdamedia cr rdacarrier 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 Schrödinger operator Laptev, Ari 1950- Verfasser (DE-588)1012993876 aut Weidl, Timo ca. 20./21. Jh. Verfasser (DE-588)1095129147 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-1-00-921846-7 Cambridge studies in advanced mathematics 200 (DE-604)BV044781283 200 https://doi.org/10.1017/9781009218436 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Frank, Rupert L. 1978- Laptev, Ari 1950- Weidl, Timo ca. 20./21. Jh Schrödinger operators eigenvalues and Lieb-Thirring inequalities Cambridge studies in advanced mathematics Schrödinger operator |
| 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 (Ludwig-Maximilians-Universität München), Ari Laptev (Imperial College of Science, Technology and Medicine, London), Timo Weidl (Universität Stuttgart) |
| title_fullStr | Schrödinger operators eigenvalues and Lieb-Thirring inequalities Rupert L. Frank (Ludwig-Maximilians-Universität München), Ari Laptev (Imperial College of Science, Technology and Medicine, London), Timo Weidl (Universität Stuttgart) |
| title_full_unstemmed | Schrödinger operators eigenvalues and Lieb-Thirring inequalities Rupert L. Frank (Ludwig-Maximilians-Universität München), Ari Laptev (Imperial College of Science, Technology and Medicine, London), Timo Weidl (Universität Stuttgart) |
| title_short | Schrödinger operators |
| title_sort | schrodinger operators eigenvalues and lieb thirring inequalities |
| title_sub | eigenvalues and Lieb-Thirring inequalities |
| topic | Schrödinger operator |
| topic_facet | Schrödinger operator |
| url | https://doi.org/10.1017/9781009218436 |
| volume_link | (DE-604)BV044781283 |
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