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Greens Functions In Quantum Statistical Mechanics
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Author :Eleftherios N. Economou Publisher :Springer Science & Business Media ISBN 13 :3662023695 Total Pages :325 pages Book Rating :4.6/5 (62 download)
Book Synopsis Green’s Functions in Quantum Physics by : Eleftherios N. Economou
Download or read book Green’s Functions in Quantum Physics written by Eleftherios N. Economou and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Statistical Mechanics by : Leo P. Kadanoff
Download or read book Quantum Statistical Mechanics written by Leo P. Kadanoff and published by . This book was released on 1962 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Green Function Method in Statistical Mechanics by : V.L. Bonch-Bruevich
Download or read book The Green Function Method in Statistical Mechanics written by V.L. Bonch-Bruevich and published by Courier Dover Publications. This book was released on 2015-11-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise 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.
Book Synopsis Annotations to Quantum Statistical Mechanics by : In-Gee Kim
Download or read book Annotations to Quantum Statistical Mechanics written by In-Gee Kim and published by CRC Press. This book was released on 2018-03-14 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Book Synopsis Quantum statistical mechanics by : Leo P. Kadanoff
Download or read book Quantum statistical mechanics written by Leo P. Kadanoff and published by . This book was released on 1981 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Statistical Mechanics by : Leo P. Kadanoff
Download or read book Quantum Statistical Mechanics written by Leo P. Kadanoff and published by CRC Press. This book was released on 2018-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very early systematic treatment of the application of the field-theoretical methods developed after the Second World War to the quantum mechanical many-body problem at finite temperature. It describes various techniques that remain basic tools of modern condensed matter physicists.
Book Synopsis Green's Functions in Quantum Statistical Mechanics by : Christian W. Gruber
Download or read book Green's Functions in Quantum Statistical Mechanics written by Christian W. Gruber and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Statistical Mechanics by : William C. Schieve
Download or read book Quantum Statistical Mechanics written by William C. Schieve and published by Cambridge University Press. This book was released on 2009-04-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.
Book Synopsis Green's Functions in Quantum Statistical Mechanics by : Christian W. Gruber
Download or read book Green's Functions in Quantum Statistical Mechanics written by Christian W. Gruber and published by . This book was released on 1983 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Green's Functions and Condensed Matter by : G. Rickayzen
Download or read book Green's Functions and Condensed Matter written by G. Rickayzen and published by Courier Corporation. This book was released on 2013-06-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Statistical Field Theory by : Norman J. Morgenstern Horing
Download or read book Quantum Statistical Field Theory written by Norman J. Morgenstern Horing and published by Oxford University Press. This book was released on 2017-09-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.
Book Synopsis The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation by : Mahdi Pourfath
Download or read book The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation written by Mahdi Pourfath and published by Springer. This book was released on 2014-07-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: For 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.
Book Synopsis Mathematical Foundations of Quantum Statistical Mechanics by : D.Y. Petrina
Download or read book Mathematical Foundations of Quantum Statistical Mechanics written by D.Y. Petrina and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.
Book Synopsis Green's Functions in Quantum Physics by : Eleftherios N. Economou
Download or read book Green's Functions in Quantum Physics written by Eleftherios N. Economou and published by Springer. This book was released on 2010-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a standard reference will be of interest to advanced students wishing to become familiar with the method of Green's functions for obtaining simple and general solutions to basic problems in quantum physics. The main part is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book. This third edition is 50% longer than the previou and offers end-of-chapter problems and solutions (40% are solved) and additional appendices to helpit is to serve as an effective self-tutorial and self-sufficient reference. Throughout, it demonstrates the powerful and unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.
Book Synopsis Nonequilibrium Many-Body Theory of Quantum Systems by : Gianluca Stefanucci
Download or read book Nonequilibrium Many-Body Theory of Quantum Systems written by Gianluca Stefanucci and published by Cambridge University Press. This book was released on 2013-03-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.
Book Synopsis Quantum Statistical Mechanics. Greens̀ Function Methods in Equilibrium and Nonequilibrium Problems by : Leo P. Kadanoff
Download or read book Quantum Statistical Mechanics. Greens̀ Function Methods in Equilibrium and Nonequilibrium Problems written by Leo P. Kadanoff and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Progress In Nonequilibrium Green's Functions, Sep 99, Germany by : Michael Bonitz
Download or read book Progress In Nonequilibrium Green's Functions, Sep 99, Germany written by Michael Bonitz and published by World Scientific. This book was released on 2000-05-11 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many fields of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which applies equally to all these areas is given by quantum field theory.Written by the leading experts and understandable to non-specialists, this book provides an overview on the basic ideas and concepts of the method of nonequilibrium Green's functions. It is complemented by modern applications of the method to a variety of topics, such as optics and transport in dense plasmas and semiconductors; correlations, bound states and coherence; strong field effects and short-pulse lasers; nuclear matter and QCD.Authors include: Gordon Bayan, Pawel Danielewicz, Don DuBois, Hartmut Haug, Klaus Henneberger, Antti-Pekka Jauho, Jörn Kuoll, Dietrich Kremp, Pavel Lipavsky and Paul C Martin.
