Mendeley出力
＜図書＞
Semi-classical analysis for the Schrödinger operator and applications
| 責任表示 | Bernard Helffer |
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| シリーズ | Lecture notes in mathematics ; 1336 . Nankai Institute of Mathematics ; v. 4 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; Tokyo : Springer-Verlag , c1988 |
| 本文言語 | 英語 |
| 大きさ | iv, 107 p. : ill. ; 25 cm |
| 概要 | This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics boo...s a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schr dinger operator with periodic potentials. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1336 | 1988 |
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068222188005597 |
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理系図 自動書庫 | 410.8/L 493/(1336) | 1988 |
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068582188024386 |
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数理 雑誌室 | SER/LNM/K1336 | 1988 |
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068252188008041 |
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書誌詳細
| 一般注記 | Bibliography: p. [100]-105 Includes index |
|---|---|
| 著者標目 | *Helffer, Bernard |
| 件 名 | LCSH:Schrödinger operator LCSH:Differential equations, Partial -- Asymptotic theory 全ての件名で検索 LCSH:Spectral theory |
| 分 類 | LCC:QA3 LCC:QA329 DC19:510 s DC19:515.7/24 |
| 書誌ID | 1000037574 |
| ISBN | 3540500766 |
| NCID | BA04235225 |
| 巻冊次 | : gw ; ISBN:3540500766 ; PRICE:DM23.00 : us ; ISBN:0387500766 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |