Progress in nonequilibrium Green's functions : proceedings of the conference "Kadanoff-Baym Equations: Progress and Perspectives for Many-body Physics", Rostock, Germany, 20-24 September 1999 / editor, Michael Bonitz with the assistance of Renate Nareyka & Dirk Semkat.

Format:

Book

Conference/Event

Contributor:

Bonitz, Michael, 1960-

Nareyka, Renate.

Semkat, Dirk.

Conference Name:

Kadanoff-Baym Equations: Progress and Perspectives for Many-body Physics (1999 : Rostock, Germany)

Language:

English

Subjects (All):

Many-body problem--Congresses.

Many-body problem.

Green's functions--Congresses.

Green's functions.

Quantum theory--Congresses.

Quantum theory.

Semiconductors--Congresses.

Semiconductors.

Optics--Congresses.

Optics.

Coulomb fuctions--Congresses.

Coulomb fuctions.

Nuclear matter--Congresses.

Nuclear matter.

Physical Description:

1 online resource (586 p.)

Other Title:

Proceedings of the conference

Progress and perspectives for many-body physics

Kadanoff-Baym equations

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, c2000.

Language Note:

English

Summary:

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 transpor

Contents:

Preface; Contents; Part I Kadanoff-Baym Equations: History and Perspectives; QUANTUM KINETIC EQUATIONS; 1 My Early Days, Schwinger, and Harvard; ON THE GREEN'S FUNCTIONS OF QUANTIZED FIELDS. I; ON THE GREENS FUNCTIONS OF QUANTIZED FIELDS. II; 2 The Dogma; 3 Concerns and Cautions; CONSERVATION LAWS AND THE QUANTUM THEORY OF TRANSPORT: THE EARLY DAYS""; 1 Introduction; 2 The Puzzles; 3 Self-Consistent Approximations; 3.1 Generalized Boltzmann Equations; 3.2 Round-Trip Green's Functions; 3.3 Ф-Derivable Approximations; Acknowledgements; References

Part II General Problems of Quantum Kinetic TheoryKADANOFF-BAYM EQUATIONS WITH INITIAL CORRELATIONS; 1 Introduction and Basic Equations; 2 Self-Energy and Initial Correlations; 3 Generalized Kadanoff-Baym Equations; 4 Non-Markovian Kinetic Equation in Binary Collision Approximation; 5 Numerical Illustrations and Discussion; Acknowledgments; References; NONLOCAL KINETIC THEORY; 1 Short Time Regime; 2 Virial Regime; 3 Thermodynamic properties; 4 Summary; References; THE ""MIXED"" GREEN'S FUNCTION APPROACH TO QUANTUM KINETICS WITH INITIAL CORRELATIONS; 1 Introduction

2 Description of Correlated Initial States3 The ""Mixed"" Green's Functions; 3.1 Some Definitions; 3.2 Dyson Equation on the Extended Contour; 3.3 Equations for the Real-Time Components of the Mixed Green's Function; 3.4 Equation for the Thermodynamic Component of the Mired Green's Function; 3.5 Equations for the Cross Components of the Mixed Green's Function; 4 The Generalized Ansatz for Correlated Initial States; References; APPROXIMATIVE CONSTRUCTIONS OF THE DOUBLE-TIME CORRELATION FUNCTION FROM THE SINGLE-TIME DISTRIBUTION FUNCTION; 1 Introduction; 1.1 Definitions; 1.2 Aims

1.3 Distributions tn the Phase Space2 Quasiclassical Regime; 2.1 Various Approximations of the Kadanoff-Baym Equation; 2.2 Properties of Ansatzes; 3 Strongly Non-Equilibrium Regimes; 4 Comparison of Ansatzes; 4.1 Summary; References; NONEQUILIBRIUM GREEN'S FUNCTIONS AND THE METHOD OF NONEQUILIBRIUM STATISTICAL OPERATOR; 1 Introduction; 2 Statistical Thermodynamics Description of Nonequilibrium States; 3 Nonequilibrium Statistical Operators in the Schrodinger Picture; 4 Boundary Conditions for Time Correlation Functions; 5 Boundary Conditions for Real-Time Green's Functions; References

LANGEVIN INTERPRETATION OF KADANOFF-BAYM EQUATIONS1 Motivation; 2 Stochastic Interpretation of KB Equations; 3 Some Further Conclusions; References; SPACE-TIME VERSUS PARTICLE-HOLE SYMMETRY OF NON-LOCAL COLLISIONS IN AN KINETIC EQUATION FOR FERMI SYSTEMS; 1 Introduction; 2 Symmetries of Scattering Integrals and Pauli Blocking; 2.1 Classical and Quantum Picture of Collision; 3 Link Between Particle-Hole and Space-Time Symmetries; 3.1 Optical Theorem for the T- Matri; 4 Optical Theorem and Explicit Space-Time Symmetry; 4.1 Bruckner Approximation of the T-Matrix

5 Non-Local Kinetic Equation with Space-Time Symmetry

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9789812793812

981279381X