现代数学物理方法（第3卷）（英文版） pdf epub mobi txt 电子书 下载 2025

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M.Reed，B.Simon 著

出版社： 世界图书出版公司

ISBN：9787506259330

版次：1

商品编码：10758678

包装：平装

出版时间：2003-06-01

用纸：胶版纸

页数：463

内容简介

In the preparation of this volume we were fortunate to receive advice from C. Berning， P. Deift， V. Enss， G. Hagedorn， J. Holder， T. Ikebe， M. Klaus， S. Kuroda， J. Morgan III， S. Pinault， J. Rauch， S. Ruijsenaars， and L. Smith. We are grateful to these individuals and others whose comments made this book better.

目录

Preface
Introduction
Contents of Other Volumes
XI: SCATTERING THEORY
1. An overview of scattering phenomena
2. Classical particle scattering
3. The basic principles of scattering in Hilbert space
Appendix 1 Stationary phase methods
Appendix 2 Trace ideal properties of f(x)g(-i)
Appendix 3 A general invariance principle for wave operators
4. Quantum scattering I: Two-body case
5. Quantum scattering II: N-body case
6. Quantum scattering III: Eigenfunction expansions
Appendix Introduction to eigenfunction expansions by the auxiliary space method
7. Quantum scattering IV: Dispersion relations
8. Quantum scattering V: Central potentials
A. Reduction of the S-matrix by symmetries
B. The partial wave expansion and its convergence
C. Phase shifts and their connection to the Schrodinger equation
D. The variable phase equation
E. Jost functions and Levinsons theorem
F. Analyticity of the partial ware amplitude for generalized Yukawa potentials
G. The Kohn variational principle
Appendix 1 Legendre polynomials and spherical Bessel functions
Appendix 2 dost solutions for oscillatory potentials
Appendix 3 dost solutions and the fimdamental problems of scattering theory
9. Long-range potentials
10. Optical and acoustical scattering I: Schrodinger operator methods
Appendix Trace class properties of Greens functions
11. Optical ami acoustical scattering II: The Lax-Phillips method
Appendix The twisting trick
12. The linear Boltzmann equation
13. Nonlinear ware equations
Appendix Conserced currents
14. Spin wave scattering
15. Quantum feld scattering I: The external field
16. Quantum field scattering II: The Haag-Ruelle theory
17. Phase space analysis of scattering and spectral theory
Appendix The RAGE theorem
Notes
Notes on scattering theory on C*-algebras
Problems
MATERIAL PREPRINTED FROM VOLUME IV
XIII.6 The absence of singular continuous spectrum I: General theory
XIII.7 The absence of singular continuous spectrum II: Smooth perturbations
A. Weakly coupled quantum systems
B. Positire commutators and repulsive potentials
C. Local smoothness and ware operators Jbr repulsive potentials
XIII.8 The absence of singular continuous spectrum III:
Weighted L2 spaces
Notes
Problems
List of Symbols
Index

前言/序言

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三角形定则

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对学习研究专业领域有价值

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量子数学物理经典，高度推荐

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根据力的平行四边形则作图，可以看出，力F1和F2的合力F的大小和方向随着F1和F2之间的夹角而变化。当夹角等于0度时，力F1和F2在同一直线上且方向相同，F=/F1/+/F2/(/为绝对值符号)，合力的大小等于两个力的大小之和，合力的方向跟两个力的方向相同。当夹角等于180度时，力F1和F2在同一直线上但方向相反，F=F1-F2，合力的大小等于两个力的大小之差，合力的方向跟两个力中较大的那个力的方向相同。

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一套很好的经典教材，用过的说好后推荐

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三角形定则

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作为理论物理必备的数理方法，该书讲述细腻，值得拥有