Green functions for ordered and disordered systems
著者
書誌事項
Green functions for ordered and disordered systems
（Studies in mathematical physics, v. 4）
North Holland , Sole distributors for the USA and Canada, Elsevier Science, c1992
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The book presents an exposition of Green functions and multiple scattering theory (MST) as presently used in the study of the electronic structure of matter. Ordered, as well as substitutionally disordered systems are discussed. This volume deals with both a tight binding approach to and a first-principles formulation of Green functions and multiple scattering theory. It includes extended discussions on such topics as the coherent potential approximation (CPA), and the use of full cell potentials in applications of MST to the calculation of electronic structure of solids. Special emphasis is given to the derivation of formulae within the angular momentum representation, as well as to problems. The book contains a collection of problems of particular interest to students.
目次
Preface. Part I: Tight Binding Formalism and Model Systems. Chapters: I. Introduction. II. Elements of the band theory of solids. III. The density of states function and lattice Fourier transforms. IV. Introduction to Green functions. V. Numerical methods and related techniques. VI. Model systems. VII. Standard manipulations and non-selfconsistent approximations for (G). VIII. The coherent potential approximation (CPA). IX. Cluster theories. X. Off-diagonal disorder and general electronic systems. XI. Displaced atoms, surfaces and interfaces. XII. Mathematical properties of the CPA. Part II: First-Principles Theory and Methods. XIII. Vector spaces and linear operators. XIV. Time independent Green functions. XV. Elements of formal scattering theory. XVI. Potential scattering. XVII. Multiple scattering theory and the band structure of periodic solids. XVIII. Multiple scattering treatment of substitutionally disordered alloys: The KKR-CPA and cluster methods. XIX. Multiple scattering theory for generally shaped, space-filling cell potentials. XX. Real-space formulation of multiple scattering theory and the electronic structure of systems with reduced symmetry. XXI. Multiple scattering theory for particles with spin and relativistic formalism. Subject index.
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