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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矢量表示法是用一段线段加上箭头表示一个物理量。线段长短表示矢量数量上的大小，箭头表示它的方向。

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学和流体力学从力学分出后，余下的部分组成一般力学。一般力学通常是指以质点、质点系、刚体、刚体系为研究对象的力学，有时还把抽象的动力学系统也作为研究对象。一般力学除了研究离散系统的基本力学规律外，还研究某些与现代工程技术有关的新兴学科的理论。

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三角形定则

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力学和其他基础科学的结合也产生一些交又性的分支，最早的是和天文学结合产生的天体力学。在20世纪特别是60年代以来，出现更多的这类交叉分支，其中有物理力学、化学流体动力学、等离子体动力学、

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力既有大小，又有方向，力的合成要遵守平行四边形定则。在物理学中，像这样的物理量叫做矢量，力是矢量，我们学过的位移、速度、加速度也是矢量。而长度、质量、时间、温度、能量、路程等物理量，只有大小，没有方向，在物理学中叫做标量。

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三角形定则

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