內容簡介
With the publication of Volumes III and IV we have completed our presentation of the material which we originally planned as "Volume II" at the time of publication of Volume I. We originally promised the publisher that the entire series would be completed nine months after we submitted Volume I. Well! We have listed the contents of future volumes below. We are not foolhardy enough to make any predictions.
目錄
Preface
Introduction
Contents of Other Volumes
XII: PERTURBATION OF POINT SPECTRA
1. Finite-dimensional perturbation theory
Appendix Algebraic and geometric multiplicity of eigenvalues of finite matrices
2. Regular perturbation theory
3. Asymptotic perturbation theory
4. Summability methods in perturbation theory
5. Spectral concentration
6. Resonances and the Fermi golden rule
Notes
Problems
XlII: SPECTRAL ANALYSIS
1. The rain-max principle
2. Bound states of Schr‘6dinger operators I: Quantitative methods
3. Bound states of Schr‘odinger operators II: Qualitative theory
A. Is disc (H)finite or infinite?
B. Bounds on N(V) in the central case
C. Bounds on N(V) in the general two-body case
4. Locating the essential spectrum I: Weyl's theorem
5. Locating the essential spectrum III: Tire HVZ theorem
6. The absence of singular continuous spectrum I: General theory
7. The absence of singular continuous spectrum II: Smooth perturbations
A. Weakly coupled quantum systems
B. Positive commutators and repulsive potentials
C. Local smoothness and wave operators for repulsive potentials
8. The absence of singular continuous spectrum III: Weighted L2 spaces
9. The spectrum ofctensor products
10.The absence of singular continuous spectrum IV: Dilation analytic potentials
11. Properties of eigenfitnctions
12. Nondegeneracy of the ground state
Appendix 1 The Beurling-Deny criteria
Appendix 2 The Levy-Khintchinecformula
13. Absence of positive eigenvalues
Appendix Unique continuation theorems for Schrodinger operators
14. Compactness criteria and operators with compact resolvent
15. The asymptotic distribution of eigenvalues
16. Schr6dinger operators with periodic potentials
17. An introduction to the specral theory of non-self-adjoint operators
Notes
Problems
List of Symbols
Index
前言/序言
現代數學物理方法(第4捲) 下載 mobi epub pdf txt 電子書 格式
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第三方交易平颱站內經營者(以下簡稱站內經營者)是指在電子商務交易平颱上從事交易及有關服務活動的自然人、法人和其他組織。
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第三方電子商務平颱(以下簡稱第三方交易平颱)是指在電子商務活動中為交易雙方或多方提供交易撮閤及相關服務的信息網絡係統總和;
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廣義上講,電子商務一詞源自於Electronic Business,就是通過電子手段進行的商業事務活動。通過使用互聯網等電子工具,使公司內部、供應商、客戶和閤作夥伴之間,利用電子業務共享信息,實現企業間業務流程的電子化,配閤企業內部的電子化生産管理係統,提高企業的生産、庫存、流通和資金等各個環節的效率。[1]
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數學物理以研究物理問題為目標的數學理論和數學方法。它探討物理現象的數學模型,即尋求物理現象的數學描述,並對模型已確立的物理問題研究其數學解法,然後根據解答來詮釋和預見物理現象,或者根據物理事實來修正原有模型。“數學物理”,是數學和物理學的交叉領域,指應用特定的數學方法來研究物理學的某些部分。對應的數學方法也叫數學物理方法。包括微分方程、作用量理論等多方麵。
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首先將電子商務劃分為廣義和狹義的電子商務。廣義的電子商務定義為,使用各種電子工具從事商務活動;狹義電子商務定義為,主要利用Internet從事商務或活動。無論是廣義的還是狹義的電子商務的概念,電子商務都涵蓋瞭兩個方麵:一是離不開互聯網這個平颱,沒有瞭網絡,就稱不上為電子商務;二是通過互聯網完成的是一種商務活動。