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商品詳細
Microlocal Analysis, Sharp Spectral Asymptotics and Applications I : Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics. 2019 ed..
・ISBN 978-3-030-30559-8 paper EUR 169.99
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| 著者・編者 | Ivrii, Victor, |
|---|---|
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 889 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14774＞ |
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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.