Green’s Functions in Quantum Physics

Green’s Functions in Quantum Physics

Author: Eleftherios N. Economou

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 325

ISBN-13: 3662023695

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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.


Green's Functions and Condensed Matter

Green's Functions and Condensed Matter

Author: G. Rickayzen

Publisher: Courier Corporation

Published: 2013-06-03

Total Pages: 370

ISBN-13: 048631586X

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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.


Green's Functions For Solid State Physicists

Green's Functions For Solid State Physicists

Author: S Doniach

Publisher: World Scientific

Published: 1998-06-06

Total Pages: 335

ISBN-13: 1911298119

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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.


Solid State Physics

Solid State Physics

Author: Giuseppe Grosso

Publisher: Academic Press

Published: 2013-10-17

Total Pages: 873

ISBN-13: 0123850312

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Solid State Physics is a textbook for students of physics, material science, chemistry, and engineering. It is the state-of-the-art presentation of the theoretical foundations and application of the quantum structure of matter and materials. This second edition provides timely coverage of the most important scientific breakthroughs of the last decade (especially in low-dimensional systems and quantum transport). It helps build readers' understanding of the newest advances in condensed matter physics with rigorous yet clear mathematics. Examples are an integral part of the text, carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Basic concepts and recent advances in the field are explained in tutorial style and organized in an intuitive manner. The book is a basic reference work for students, researchers, and lecturers in any area of solid-state physics. - Features additional material on nanostructures, giving students and lecturers the most significant features of low-dimensional systems, with focus on carbon allotropes - Offers detailed explanation of dissipative and nondissipative transport, and explains the essential aspects in a field, which is commonly overlooked in textbooks - Additional material in the classical and quantum Hall effect offers further aspects on magnetotransport, with particular emphasis on the current profiles - Gives a broad overview of the band structure of solids, as well as presenting the foundations of the electronic band structure. Also features reported with new and revised material, which leads to the latest research


The Physics of Solids

The Physics of Solids

Author: Eleftherios N. Economou

Publisher: Springer Science & Business Media

Published: 2010-08-04

Total Pages: 865

ISBN-13: 3642020690

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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.


Advanced Solid State Physics

Advanced Solid State Physics

Author: Philip Phillips

Publisher: Cambridge University Press

Published: 2012-03

Total Pages: 415

ISBN-13: 0521194903

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Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.


Feynman Diagram Techniques in Condensed Matter Physics

Feynman Diagram Techniques in Condensed Matter Physics

Author: Radi A. Jishi

Publisher: Cambridge University Press

Published: 2013-04-25

Total Pages: 415

ISBN-13: 1107025176

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An introduction to the application of Feynman diagram techniques for researchers and advanced undergraduate students in condensed matter theory and many-body physics.


Many-Body Quantum Theory in Condensed Matter Physics

Many-Body Quantum Theory in Condensed Matter Physics

Author: Henrik Bruus

Publisher: Oxford University Press

Published: 2004-09-02

Total Pages: 458

ISBN-13: 0198566336

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The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.


The Physics of Solids

The Physics of Solids

Author: J. B. Ketterson

Publisher: Oxford University Press

Published: 2016-10-28

Total Pages: 1053

ISBN-13: 0191060550

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This comprehensive text covers the basic physics of the solid state starting at an elementary level suitable for undergraduates but then advancing, in stages, to a graduate and advanced graduate level. In addition to treating the fundamental elastic, electrical, thermal, magnetic, structural, electronic, transport, optical, mechanical and compositional properties, we also discuss topics like superfluidity and superconductivity along with special topics such as strongly correlated systems, high-temperature superconductors, the quantum Hall effects, and graphene. Particular emphasis is given to so-called first principles calculations utilizing modern density functional theory which for many systems now allow accurate calculations of the electronic, magnetic, and thermal properties.