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.

Non-equilibrium Statistical Physics with Application to Disordered Systems

Non-equilibrium Statistical Physics with Application to Disordered Systems PDF Author: Manuel Osvaldo Cáceres
Publisher: Springer
ISBN: 3319515535
Category : Science
Languages : en
Pages : 568

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Book Description
This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.

NBS Special Publication

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

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Book Description


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 for Solid State Physicists

Green's Functions for Solid State Physicists PDF Author: S. Doniach
Publisher: Addison-Wesley
ISBN: 9780805323979
Category : Science
Languages : en
Pages : 266

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Book Description
index

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