Green Functions for Ordered and Disordered Systems

Green Functions for Ordered and Disordered Systems PDF Author: Antonios Gonis
Publisher: North Holland
ISBN:
Category : Science
Languages : en
Pages : 726

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Book Description
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.

Green Functions for Ordered and Disordered Systems

Green Functions for Ordered and Disordered Systems PDF Author: Antonios Gonis
Publisher: North Holland
ISBN:
Category : Science
Languages : en
Pages : 726

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Book Description
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.

Green’s Functions in Quantum Physics

Green’s Functions in Quantum Physics PDF Author: Eleftherios N. Economou
Publisher: Springer Science & Business Media
ISBN: 3662023695
Category : Science
Languages : en
Pages : 325

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Book Description
In this edition the second and main part of the book has been considerably expanded as to cover important applications of the formalism. In Chap.5 a section was added outlining the extensive role of the tight binding (or equivalently the linear combination of atomic-like orbitals) approach to many branches of solid-state physics. Some additional informa tion (including a table of numerical values) regarding square and cubic lattice Green's functions were incorporated. In Chap.6 the difficult subjects of superconductivity and the Kondo effect are examined by employing an appealingly simple connection to the question of the existence of a bound state in a very shallow potential well. The existence of such a bound state depends entirely on the form of the un perturbed density of states near the end of the spectrum: if the density of states blows up there is always at least one bound state. If the density of states approaches zero continuously, a critical depth (and/or width) of the well must be reached in order to have a bound state. The borderline case of a finite discontinuity (which is very important to superconductivity and the Kondo effect) always produces a bound state with an exponentially small binding energy.

NBS Special Publication

NBS Special Publication PDF Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 828

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Book Description


Green's Functions For Solid State Physicists

Green's Functions For Solid State Physicists PDF Author: S Doniach
Publisher: World Scientific
ISBN: 1911298119
Category : Science
Languages : en
Pages : 335

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Book Description
This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to topics of current research interest, such as singularities (X-ray, Kondo) associated with transient perturbations in an electron gas, the Mott metal-insulator transition in correlated electron systems, and the phenomenon of high Tc superconductivity.This invaluable book grew out of a course of graduate lectures given by S Doniach at the University of London. It will appeal to beginning graduate students in theoretical solid state physics as an introduction to more comprehensive or more specialized texts and also to experimentalists who would like a quick view of the subject. A basic knowledge of solid state physics and quantum mechanics at graduate level is assumed.

Publications

Publications PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 480

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Book Description


The Physics of Solids

The Physics of Solids PDF Author: Eleftherios N. Economou
Publisher: Springer Science & Business Media
ISBN: 3642020690
Category : Science
Languages : en
Pages : 865

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Book Description
Solid State Physics emphasizes a few fundamental principles and extracts from them a wealth of information. This approach also unifies an enormous and diverse subject which seems to consist of too many disjoint pieces. The book starts with the absolutely minimum of formal tools, emphasizes the basic principles, and employs physical reasoning (" a little thinking and imagination" to quote R. Feynman) to obtain results. Continuous comparison with experimental data leads naturally to a gradual refinement of the concepts and to more sophisticated methods. After the initial overview with an emphasis on the physical concepts and the derivation of results by dimensional analysis, The Physics of Solids deals with the Jellium Model (JM) and the Linear Combination of Atomic Orbitals (LCAO) approaches to solids and introduces the basic concepts and information regarding metals and semiconductors.

Green's Functions and Condensed Matter

Green's Functions and Condensed Matter PDF Author: G. Rickayzen
Publisher: Courier Corporation
ISBN: 048631586X
Category : Science
Languages : en
Pages : 370

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Book Description
Presentation of the basic theoretical formulation of Green's functions, followed by specific applications: transport coefficients of a metal, Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition.

Publications of the National Institute of Standards and Technology ... Catalog

Publications of the National Institute of Standards and Technology ... Catalog PDF Author: National Institute of Standards and Technology (U.S.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 810

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Book Description


Publications of the National Bureau of Standards, 1972 Catalog

Publications of the National Bureau of Standards, 1972 Catalog PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 456

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Book Description


Ordered Intermetallics

Ordered Intermetallics PDF Author: C.T. Liu
Publisher: Springer Science & Business Media
ISBN: 9401125341
Category : Technology & Engineering
Languages : en
Pages : 692

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Book Description
Ordered intermetallics constitute a unique class of metallic materials which may be developed as new-generation materials for structural use at high temperatures in hostile environments. At present, there is a worldwide interest in intermetallics, and extensive efforts have been devoted to intermetallic research and development in the U.S., Japan, European countries, and other nations. As a result, significant advances have been made in all areas of intermetallic research. This NATO Advanced Workshop on ordered intermetallics (1) reviews the recent progress, and (2) assesses the future direction of intermetallic research in the areas of electronic structure and phase stability, deformation and fracture, and high-temperature properties. The book is divided into six parts: (1) Electronic Structure and Phase Stability; (2) Deformation and Dislocation Structures; (3) Ductility and Fracture; (4) Kinetic Processes and Creep Behavior; (5) Research Programs and Highlights; and (6) Assessment of Current Research and Recommendation for Future Work. The first four parts review the recent advances in the three focus areas. The fifth part provides highlights of the intermetallic research under major programs and in different institutes and countries. The last part provides a forum for the discussion of research areas for future studies.