Schrodinger operators : (Record no. 93495)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02687nam a22001817a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250519163110.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250519b2023 |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781009218467 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.243 FRA-R |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Frank, Rupert L. |
| 245 ## - TITLE STATEMENT | |
| Title | Schrodinger operators : |
| Remainder of title | eigenvalues and Lieb-Thrring inequalities / |
| Statement of responsibility, etc. | Rupert L. Frank, Ari Laptev and Timo Weidl |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | United Kingdom |
| Name of publisher, distributor, etc. | Cambridge University Press |
| Date of publication, distribution, etc. | 2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 507 p. |
| 500 ## - GENERAL NOTE | |
| General note | Eigenvalues of Laplace and Schroedinger operators play a fundamental role in many applications in mathematics and physics. This graduate-level book is devoted to their qualitative and quantitative mathematical analysis. It assumes no prior knowledge in this area and leads up to cutting-edge research on sharp constants in Lieb-Thirring inequalities.<br/>'In 1975, Lieb and Thirring proved a remarkable bound of the sum of the negative eigenvalues of a Schrödinger operator in three dimensions in terms of the L^{5/2}-norm of the potential and used it in their proof of the stability of matter. Shortly thereafter, they realized it was a case of a lovely set of inequalities which generalize Sobolev inequalities and have come to be called Lieb-Thirring bounds. This has spawned an industry with literally hundreds of papers on extensions, generalizations and optimal constants. It is wonderful to have the literature presented and synthesized by three experts who begin by giving the background necessary for this book to be useful not only to specialists but to the novice wishing to understand a deep chapter in mathematical analysis.' Barry Simon, California Institute of Technology<br/><br/>'In a difficult 1968 paper Dyson and Lenard succeeded in proving the 'Stability of Matter' in quantum mechanics. In 1975 a much simpler proof was developed by Thirring and me with a new, multi-function, Sobolev like inequality, as well as a bound on the negative spectrum of Schrödinger operators. These and other bounds have become an important and useful branch of functional analysis and differential equations generally and quantum mechanics in particular. This book, written by three of the leading contributors to the area, carefully lays out the entire subject in a highly readable, yet complete description of these inequalities. They also give gently, yet thoroughly, all the necessary spectral theory and Sobolev theory background that a beginning student might need.' Elliott Lieb, Princeton University.<br/>Takes readers from the very basic facts to the most recent results on eigenvalues of Laplace and Schrödinger operators. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Schrödinger operator |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laptev, Ari |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weidl, Timo |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | 510 | BITS Pilani Hyderabad | BITS Pilani Hyderabad | General Stack (For lending) | 31/03/2025 | 515.243 FRA-R | 49931 | 19/05/2025 | 19/05/2025 | Books |