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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

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數學物理以研究物理問題為目標的數學理論和數學方法。它探討物理現象的數學模型，即尋求物理現象的數學描述，並對模型已確立的物理問題研究其數學解法，然後根據解答來詮釋和預見物理現象，或者根據物理事實來修正原有模型。“數學物理”，是數學和物理學的交叉領域，指應用特定的數學方法來研究物理學的某些部分。對應的數學方法也叫數學物理方法。包括微分方程、作用量理論等多方麵。

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根據力的平行四邊形則作圖，可以看齣，力F1和F2的閤力F的大小和方嚮隨著F1和F2之間的夾角而變化。當夾角等於0度時，力F1和F2在同一直綫上且方嚮相同，F=/F1/+/F2/(/為絕對值符號)，閤力的大小等於兩個力的大小之和，閤力的方嚮跟兩個力的方嚮相同。當夾角等於180度時，力F1和F2在同一直綫上但方嚮相反，F=F1-F2，閤力的大小等於兩個力的大小之差，閤力的方嚮跟兩個力中較大的那個力的方嚮相同。

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數學味比較濃。講的比國內課本多很多。

評分☆☆☆☆☆

這套書真的是這個領域非常經典的書

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