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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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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讲解清晰，内容专业，理论系统，值得推荐！

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一般力学、固体力学和流体力学这三个主要分支在发展过程中，又因对象或模型的不同出现了一些分支学科和研究领域。属于一般力学的有理论力学(狭义的)、分析力学、外弹道学、振动理论、刚体动力学、陀螺力学、运动稳定性等；属于固体力学的有材料力学、结构力学、弹性力学、塑性力学、断裂力学等；流体力学是由早期的水力学和水动力学这两个风格迥异的分支汇合而成，到了21世纪则有空气动力学、气体动力学、多相流体力学、渗流力学、非牛顿流体力学等分支。各分支学科间的交叉结果又产生粘弹性理论、流变学、气动弹性力学等。

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