<電子ブック>
Hamiltonian Mechanical Systems and Geometric Quantization / by Mircea Puta
(Mathematics and Its Applications ; 260)
版 | 1st ed. 1993. |
---|---|
出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 1993 |
本文言語 | 英語 |
大きさ | VIII, 280 p : online resource |
著者標目 | *Puta, Mircea author SpringerLink (Online service) |
件 名 | LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Mathematics LCSH:Quantum physics LCSH:Geometry, Differential FREE:Global Analysis and Analysis on Manifolds FREE:Applications of Mathematics FREE:Quantum Physics FREE:Differential Geometry |
一般注記 | 1 Symplectic Geometry -- 1.1 Symplectic Algebra -- 1.2 Symplectic Geometry -- 1.3 Darboux’s Theorem -- 1.4 Symplectic Reduction -- 1.5 Problems and Solutions -- 2 Hamiltonian Mechanics -- 2.1 Hamiltonian Mechanical Systems -- 2.2 Poisson Bracket -- 2.3 Infinite Dimensional Hamiltonian Mechanical Systems -- 2.4 Problems and Solutions -- 3 Lie Groups. Momentum Mappings. Reduction -- 3.1 Lie Groups -- 3.2 Actions of Lie Groups -- 3.3 The Momentum Mapping -- 3.4 Reduction of Symplectic Manifolds -- 3.5 Problems and Solutions -- 4 Hamilton-Poisson Mechanics -- 4.1 Poisson Geometry -- 4.2 The Lie-Poisson Structure -- 4.3 Hamilton-Poisson Mechanical Systems -- 4.4 Reduction of Poisson Manifolds -- 4.5 Problems and Solutions -- 5 Hamiltonian Mechanical Systems and Stability -- 5.1 The Meaning of Stability -- 5.2 Hamilton’s Equations and Stability -- 5.3 The Energy-Casimir Method -- 5.4 Problems and Solutions -- 6 Geometric Prequantization -- 6.1 Full Quantization and Dirac Problem -- 6.2 Complex Bundles and the Dirac Problem -- 6.3 Geometric Prequantization -- 6.4 Problems and Solutions -- 7 Geometric Quantization -- 7.1 Polarizations and the First Attempts to Quantization -- 7.2 Half-Forms Correction of Geometric Quantization -- 7.3 The Non-Existence Problem -- 7.4 Problems and Solutions -- 8 Foliated Cohomology and Geometric Quantization -- 8.1 Real Foliations and Differential Forms -- 8.2 Complex Foliations and Differential Forms -- 8.3 Complex Elliptic Foliations and Spectral Geometry -- 8.4 Cohomological Correction of Geometric Quantization -- 8.5 Problems and Solutions -- 9 Symplectic Reduction. Geometric Quantization. Constrained Mechanical Systems -- 9.1 Symplectic Reduction and Geometric Prequantization -- 9.2 Symplectic Reduction and Geometric Quantization -- 9.3 Applications to Constrained MechanicalSystems -- 9.4 Problems and Solutions -- 10 Poisson Manifolds and Geometric Prequantization -- 10.1 Groupoids -- 10.2 Symplectic Groupoids -- 10.3 Geometric Prequantization of Poisson Manifolds -- 10.4 Problems and Solutions -- References HTTP:URL=https://doi.org/10.1007/978-94-011-1992-4 |
目次/あらすじ
所蔵情報を非表示
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9789401119924 |
|
電子リソース |
|
EB00235182 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA614-614.97 DC23:514.74 |
書誌ID | 4000111211 |
ISBN | 9789401119924 |
類似資料
この資料の利用統計
このページへのアクセス回数:7回
※2017年9月4日以降