<電子ブック>
Mathematical Concepts of Quantum Mechanics / by Stephen J. Gustafson, Israel Michael Sigal
(Universitext. ISSN:21916675)
版 | 2nd ed. 2011. |
---|---|
出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2011 |
大きさ | XIII, 382 p. 37 illus : online resource |
著者標目 | *Gustafson, Stephen J author Sigal, Israel Michael author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis LCSH:Mathematical physics LCSH:Quantum physics FREE:Functional Analysis FREE:Theoretical, Mathematical and Computational Physics FREE:Quantum Physics |
一般注記 | 1 Physical Background -- 2 Dynamics -- 3 Observables -- 4 Quantization -- 5 Uncertainty Principle and Stability of Atoms and Molecules -- 6 Spectrum and Dynamics -- 7 Special Cases -- 8 Bound States and Variational Principle -- 9 Scattering States -- Existence of Atoms and Molecules -- 11 Perturbation Theory: Feshbach-Schur Method -- 12 General Theory of Many-particle Systems -- 13 Self-consistent Approximations -- 14 The Feynman Path Integral -- 15 Quasi-classical Analysis -- 16 Resonances -- 17 Quantum Statistics -- 18 The Second Quantization -- 19 Quantum Electro-Magnetic Field – Photons -- 20 Standard Model of Non-relativistic Matter and Radiation -- 21 Theory of Radiation -- 22 Renormalization Group -- 23 Mathematical Supplement: Spectral Analysis -- 24 Mathematical Supplement: The Calculus of Variations -- 25 Comments on Literature, and Further Reading -- References -- Index The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory HTTP:URL=https://doi.org/10.1007/978-3-642-21866-8 |
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 | 9783642218668 |
|
電子リソース |
|
EB00204553 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000116657 |
ISBN | 9783642218668 |
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:3回
※2017年9月4日以降