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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV : Magnetic Schroedinger Operator 2. 2019 ed..
・ISBN 978-3-030-30544-4 hard EUR 149.99
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| 著者・編者 | Ivrii, Victor, |
|---|---|
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 714 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14597＞ |
解説
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in "small" domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schroedinger operator, miscellaneous problems, and multiparticle quantum theory.
In this volume the methods developed in Volumes I, II and III are applied to the Schroedinger and Dirac operators in non-smooth settings and in higher dimensions.