现代数学物理方法（第4卷）

出版时间：2003-6  出版社：世界图书出版公司  作者：M.Reed，B.Simon 著  页数：396  
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内容概要

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.

书籍目录

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 operatorsNotesProblemsList of SymbolsIndex

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•   1. 书籍介绍中也没有说书是破损的，当我买完后，说是破损的，也不能给打折。2. 当我收到书的时候，卖家忘记给发票，我发邮件说要发票，卖家说再邮发票有些麻烦，等下次购买书的时候一起给发票，我有点无语
•   印刷质量很一般...
•   国外都是精装书，而国内影印的却像是盗版的。建议引进进口书