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Author: V.L. Bonch-Bruevich
Publisher: Courier Dover Publications
Published: 2015-11-18
Total Pages: 276
ISBN-13: 0486797155
DOWNLOAD EBOOKConcise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.
Author: Leo P. Kadanoff
Publisher:
Published: 1962
Total Pages: 228
ISBN-13:
DOWNLOAD EBOOKAuthor: Eleftherios N. Economou
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 325
ISBN-13: 3662023695
DOWNLOAD EBOOKIn 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.
Author: V. L. Bonch-Bruevich
Publisher:
Published: 1979
Total Pages: 251
ISBN-13:
DOWNLOAD EBOOKAuthor: Mahdi Pourfath
Publisher: Springer
Published: 2014-07-05
Total Pages: 268
ISBN-13: 370911800X
DOWNLOAD EBOOKFor modeling the transport of carriers in nanoscale devices, a Green-function formalism is the most accurate approach. Due to the complexity of the formalism, one should have a deep understanding of the underlying principles and use smart approximations and numerical methods for solving the kinetic equations at a reasonable computational time. In this book the required concepts from quantum and statistical mechanics and numerical methods for calculating Green functions are presented. The Green function is studied in detail for systems both under equilibrium and under nonequilibrium conditions. Because the formalism enables rigorous modeling of different scattering mechanisms in terms of self-energies, but an exact evaluation of self-energies for realistic systems is not possible, their approximation and inclusion in the quantum kinetic equations of the Green functions are elaborated. All the elements of the kinetic equations, which are the device Hamiltonian, contact self-energies and scattering self-energies, are examined and efficient methods for their evaluation are explained. Finally, the application of these methods to study novel electronic devices such as nanotubes, graphene, Si-nanowires and low-dimensional thermoelectric devices and photodetectors are discussed.
Author: V. L. Bonch-Bruevich
Publisher:
Published: 1962
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: G. Rickayzen
Publisher: Courier Corporation
Published: 2013-06-03
Total Pages: 370
ISBN-13: 048631586X
DOWNLOAD EBOOKPresentation 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.
Author: V. L. Bonch-Bruevich
Publisher:
Published: 1962
Total Pages: 251
ISBN-13:
DOWNLOAD EBOOKAuthor: Kevin Cole
Publisher: Taylor & Francis
Published: 2010-07-16
Total Pages: 666
ISBN-13: 143989521X
DOWNLOAD EBOOKSince its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place. Based on the authors' own research and classroom experience with the material, this book organizes the so
Author: In-Gee Kim
Publisher: CRC Press
Published: 2018-03-14
Total Pages: 348
ISBN-13: 1351767518
DOWNLOAD EBOOKThis book is a rewritten and annotated version of Leo P. Kadanoff and Gordon Baym’s lectures that were presented in the book Quantum Statistical Mechanics: Green’s Function Methods in Equilibrium and Nonequilibrium Problems. The lectures were devoted to a discussion on the use of thermodynamic Green’s functions in describing the properties of many-particle systems. The functions provided a method for discussing finite-temperature problems with no more conceptual difficulty than ground-state problems, and the method was equally applicable to boson and fermion systems and equilibrium and nonequilibrium problems. The lectures also explained nonequilibrium statistical physics in a systematic way and contained essential concepts on statistical physics in terms of Green’s functions with sufficient and rigorous details. In-Gee Kim thoroughly studied the lectures during one of his research projects but found that the unspecialized method used to present them in the form of a book reduced their readability. He started the tedious work of rewriting and annotating them to fully understand the formalism of nonequilibrium quantum statistical mechanics. While doing so, he realized they can be a useful resource for students of modern physics but will have to be upgraded to match pace with the evolved curricula. Being aware that besides completing the course work and passing the relevant examinations, it is necessary for graduate students of modern physics to make the knowledge of a topic concrete in their minds. This book is a systematically prepared summary of those lectures and will be extremely useful for graduate students as well as senior researchers to settle down the key knowledge of the subject.
