Green's functions in quantum physics
著者
書誌事項
Green's functions in quantum physics
（Springer series in solid-state sciences, v. 7）
Springer-Verlag, 1983
2nd corr. and updated ed
- : us : pbk.
- : gw : pbk.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The main part of this text is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a d-function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and bound-level information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.
目次
- Contents: Green's Functions in Mathematical Physics: Time-Independent Green's Functions. Time-Dependent Green's Functions.- Green's Functions in One-Body Quantum Problems: Physical Significance of G. Application to the Free-Particle Case. Green's Functions and Perturbation Theory. Green's Functions for Tight-Binding Hamiltonians. Single Impurity Scattering. Two or More Impurities
- Disordered Systems.- Green's Functions in Many-Body Systems: Definitions. Properties and Use of the Green's Functions. Calculational Methods for g. Applications.- Appendix A: Analytic Behavior of G(z) Near a Band Edge.- Appendix B: The Renormalized Perturbation Expansion (RPE).- Appendix C: Second Quantization.- References.- Subject Index.
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