Quantum Kinetic Theory and Applications PDF Download

Author: Fedir T. Vasko
Publisher: Springer Science & Business Media
ISBN: 0387280413
Category : Science
Languages : en
Pages : 791

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Book Description
Physicalkineticsisthe?nalsectionofthecourseoftheoreticalphysics in its standard presentation. It stays at the boundary between g- eral theories and their applications (solid state theory, theory of gases, plasma, and so on), because the treatment of kinetic phenomena always depends on speci?c structural features of materials. On the other hand, the physical kinetics as a part of the quantum theory of macroscopic systems is far from being complete. A number of its fundamental - sues, such as the problem of irreversibility and mechanisms of chaotic responses, are now attracting considerable attention. Other important sections, for example, kinetic phenomena in disordered and/or strongly non-equilibrium systems and, in particular, phase transitions in these systems, are currently under investigation. The quantum theory of m- surements and quantum information processing actively developing in the last decade are based on the quantum kinetic theory. Because a deductive theoretical exposition of the subject is not c- venient, the authors restrict themselves to a lecture-style presentation. Now the physical kinetics seems to be at the stage of development when, according to Newton, studying examples is more instructive than lea- ing rules. In view of these circumstances, the methods of the kinetic theory are presented here not in a general form but as applications for description of speci?c systems and treatment of particular kinetic p- nomena. The quantum features of kinetic phenomena can arise for several r- sons.

Author: R.L. Liboff
Publisher: Springer Science & Business Media
ISBN: 0387217754
Category : Science
Languages : en
Pages : 587

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Book Description
This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.

Author: Michael Bonitz
Publisher: Vieweg+Teubner Verlag
ISBN: 9783519002383
Category : Technology & Engineering
Languages : en
Pages : 388

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Book Description
This book comnines detailed presentation of the basic material using easy to understand density operator methods (Quantum BBGKY-hierarchy); advanced applications to ultrafast relaxation processes (motivated by modern developments in femtosecond lasers) and detailed analysis of the interaction of charged particles with electomagnetic fields; compact and coprehensive presentation of nonequilibrium Green ́s functions, starting from relativistic systems (QED), and detailed comparison to density operators; discussion of Molecular dynamic methods in nonequilibrium and of its relation to quantum knietics; state of the art numericsl results to all subjects, supplemented with a detailed appemdix devoted to numerical methods in quantum kinetics; extensive references, both to classical works on knietic theory and to modern applications in various field.

Author: Carlo Cercignani
Publisher: Springer Science & Business Media
ISBN: 0817645543
Category : Science
Languages : en
Pages : 271

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Book Description
The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Author: Michael Bonitz
Publisher: Springer
ISBN: 3319241214
Category : Science
Languages : en
Pages : 406

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Book Description
This book presents quantum kinetic theory in a comprehensive way. The focus is on density operator methods and on non-equilibrium Green functions. The theory allows to rigorously treat nonequilibrium dynamics in quantum many-body systems. Of particular interest are ultrafast processes in plasmas, condensed matter and trapped atoms that are stimulated by rapidly developing experiments with short pulse lasers and free electron lasers. To describe these experiments theoretically, the most powerful approach is given by non-Markovian quantum kinetic equations that are discussed in detail, including computational aspects.

Author: Richard L. Liboff
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 584

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Book Description
This updated and expanded edition offers a collective description of all aspects of kinetic theory Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, Second Edition goes beyond the scope of other works in the field with a significantly broader array of applications. This superior reference addresses a wide range of disciplines, including aerospace, mechanical, and chemical engineering; solid state and laser physics; and controlled and astrophysical thermonuclear fusion. Topics covered include: * Entirely new material on kinetic properties of metals and amorphous media. * Exposition and analysis of the Liouville equation. * The Boltzmann equation, fluid dynamics, and irreversibility. * Kinetic equations with applications to plasmas, neutral fluids, and shock waves. * Elements of quantum kinetic theory and the many-body Green's function. * Relativistic kinetic theory--covariant Liouville equation * List of classical and quantum hierarchies of kinetic equations Support materials include problem sets at the end of each chapter, many of which provide self-contained descriptions of closely allied topics. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart. Kinetic Theory, Second Edition is an indispensable resource for physicists involved in plasma physics, condensed matter, and statistical mechanics; electrical engineers working with laser and solid state devices; and researchers in industry and academia. It is also an excellent text for graduate courses in these and other disciplines.

Author: Leonard Benedict Loeb
Publisher:
ISBN:
Category : Kinetic theory of gases
Languages : en
Pages : 580

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Book Description

Author: Klaus Morawetz
Publisher: Oxford University Press
ISBN: 0198797249
Category : Science
Languages : en
Pages : 596

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Book Description
This book presents an up-to-date formalism of non-equilibrium Green's functions covering different applications ranging from solid state physics, plasma physics, cold atoms in optical lattices up to relativistic transport and heavy ion collisions. Within the Green's function formalism, the basic sets of equations for these diverse systems are similar, and approximations developed in one field can be adapted to another field. The central object is the self-energy which includes all non-trivial aspects of the system dynamics. The focus is therefore on microscopic processes starting from elementary principles for classical gases and the complementary picture of a single quantum particle in a random potential. This provides an intuitive picture of the interaction of a particle with the medium formed by other particles, on which the Green's function is built on.

Author: Bernard Shizgal
Publisher: Springer
ISBN: 9401794545
Category : Science
Languages : en
Pages : 415

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Book Description
This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.

Author: Pierre Degond
Publisher: Springer Science & Business Media
ISBN: 0817682007
Category : Mathematics
Languages : en
Pages : 360

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Book Description
In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.