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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III : Magnetic Schrödinger Operator 1 / by Victor Ivrii
版 | 1st ed. 2019. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2019 |
大きさ | XXI, 729 p. 1 illus : online resource |
著者標目 | *Ivrii, Victor author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Mathematical physics FREE:Analysis FREE:Mathematical Physics |
一般注記 | Smooth theory in dimensions 2 and 3 -- Standard Theory -- 2D degenerating magnetic Schrödinger operator -- 2D magnetic Schrödinger near boundary -- Magnetic Schrödinger operator: short loops -- Dirac operator with strong magnetic field 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 Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3 HTTP:URL=https://doi.org/10.1007/978-3-030-30537-6 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030305376 |
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EB00197180 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000134494 |
ISBN | 9783030305376 |
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