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Semiclassical analysis / Maciej Zworski
(Graduate Studies in Mathematics ; v. 138)
出版者 | Providence, R.I : American Mathematical Society |
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出版年 | c2012 |
大きさ | 1 online resource (xii, 431 p.) |
著者標目 | *Zworski, Maciej |
件 名 | LCSH:Quantum theory -- Mathematics
全ての件名で検索
LCSH:Differential equations, Partial FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with quantum mechanics 全ての件名で検索 FREE:Quantum theory -- General mathematical topics and methods in quantum theory -- Semiclassical techniques, including WKB and Maslov methods 全ての件名で検索 FREE:Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Pseudodifferential operators 全ての件名で検索 FREE:Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Fourier integral operators 全ての件名で検索 FREE:Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions 全ての件名で検索 FREE:Quantum theory -- General quantum mechanics and problems of quantization -- Geometry and quantization, symplectic methods 全ての件名で検索 |
内容注記 | Chapter 1. Introduction Chapter 2. Symplectic geometry and analysis Chapter 3. Fourier transform, stationary phase Chapter 4. Semiclassical quantization Chapter 5. Semiclassical defect measures Chapter 6. Eigenvalues and eigenfunctions Chapter 7. Estimates for solutions of PDE Chapter 8. More on the symbol calculus Chapter 9. Changing variables Chapter 10. Fourier integral operators Chapter 11. Quantum and classical dynamics Chapter 12. Normal forms Chapter 13. The FBI transform Chapter 14. Manifolds Chapter 15. Quantum ergodicity Appendix A. Notation Appendix B. Differential forms Appendix C. Functional analysis Appendix D. Fredholm theory |
一般注記 | Includes bibliographical references p. (421-426) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/138 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/138 Information=Contents |
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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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Graduate studies in mathematics | 9780821889954 |
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電子リソース |
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EB00103048 |
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データ種別 | 電子ブック |
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分 類 | LCC:QC174.17.D54 DC23:515 |
書誌ID | 4000113058 |
ISBN | 9780821889954 |
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