現代數學物理方法（第3捲）（英文版） 下載 mobi epub pdf 電子書 2025

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內容簡介

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.

目錄

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

現代數學物理方法（第3捲）（英文版） 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

力既有大小，又有方嚮，力的閤成要遵守平行四邊形定則。在物理學中，像這樣的物理量叫做矢量，力是矢量，我們學過的位移、速度、加速度也是矢量。而長度、質量、時間、溫度、能量、路程等物理量，隻有大小，沒有方嚮，在物理學中叫做標量。

評分☆☆☆☆☆

力學在工程技術方麵的應用結果形成工程力學或應用力學的各種分支，諸如土力學、岩石力學、爆炸力學復閤材料力學、工業空氣動力學、環境空氣動力學等。

評分☆☆☆☆☆

好

評分☆☆☆☆☆

學和流體力學從力學分齣後，餘下的部分組成一般力學。一般力學通常是指以質點、質點係、剛體、剛體係為研究對象的力學，有時還把抽象的動力學係統也作為研究對象。一般力學除瞭研究離散係統的基本力學規律外，還研究某些與現代工程技術有關的新興學科的理論。

評分☆☆☆☆☆

力學也可按所研究對象區分為固體力學、流體力學和一般力學三個分支。根據研究對象具體的形態、研究方

評分☆☆☆☆☆

評分☆☆☆☆☆

如果有兩個以上的共點力作用在物體上，我們也可以應用平行四邊形定則求齣它們的閤力：先求齣任意兩個力的閤力，再求齣這個閤力跟第三個力的閤力，直到把所有的力都閤進去，最後得到的結果就是這些力的閤力。

評分☆☆☆☆☆

不錯

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