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Titlebook: Quantum Kinetic Theory; Michael Bonitz Book 2016Latest edition Springer International Publishing Switzerland 2016 BBGKY Hierarchy.Density

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发表于 2025-3-21 19:44:07 | 显示全部楼层 |阅读模式
书目名称Quantum Kinetic Theory
编辑Michael Bonitz
视频video
概述Provides a general introduction to many-particle dynamics in quantum systems.Gives a broad overview on density operator methods and non-equilibrium Green functions.Covers modern time-dependent many-bo
图书封面Titlebook: Quantum Kinetic Theory;  Michael Bonitz Book 2016Latest edition Springer International Publishing Switzerland 2016 BBGKY Hierarchy.Density
描述.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. .
出版日期Book 2016Latest edition
关键词BBGKY Hierarchy; Density Operators; Mean-field Approximation; Non-Markovian Effects; Non-equilibrium Gre
版次2
doihttps://doi.org/10.1007/978-3-319-24121-0
isbn_softcover978-3-319-34260-3
isbn_ebook978-3-319-24121-0
copyrightSpringer International Publishing Switzerland 2016
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发表于 2025-3-21 23:30:59 | 显示全部楼层
发表于 2025-3-22 00:28:23 | 显示全部楼层
,Non-Markovian Kinetic Equations with Selfenergy,ovian kinetic equations of the Boltzmann type. This was discussed already in Chap. ., but here we present a more detailed analysis that allows to include memory effects approximately via a retardation expansion.
发表于 2025-3-22 07:42:26 | 显示全部楼层
,Random Phase Approximation,ollective modes that were discussed in Chap. . are properly “built-in” into the renormalized interaction potential. We present the non-Markovian generalization of the RPA that directly yields an equation of motion of the screened potential . with the inverse dielectric function .. The solution for .
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The Method of Reduced Density Operators,ework of reduced density operators. It gives a complete treatment of the subject how to come from (reversible) dynamic equations for the N-particle wave function to a set of equations for the statistical operators—the famous BBGKY-hierarchy. After a discussion of the main properties of the hierarchy
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,Correlations Due to the Spin Statistics,ed (for bosons) or anti-symmetrized (for fermions) following an idea of Dufty and Boercker in [102]. This directly yields key quantities such as the Hartree-Fock mean field, Pauli blocking factors (for fermions) and many-body renormalized pair potentials. The final results are the properly (anti-)sy
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