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Nonequilibrium Green's functions and kinetic equations for highly excited semiconductors

Volkhard May

Physica A Statistical Mechanics and its ApplicationsMar 1, 19871 citation

Nonequilibrium green's functions and kinetic equations for highly excited semiconductors

K. Henneberger, Volkhard May

Physica A Statistical Mechanics and its ApplicationsOct 1, 198623 citations

Feedback and memory in kinetic equations of highly excited semiconductors

E. Heiner

Physica A Statistical Mechanics and its ApplicationsJul 1, 19944 citations

Quantum kinetic theory for nonequilibrium electrons: from TDHF to Keldysh Green functions

M. Bönitz, Karsten Balzer, Sebastian Bauch +2 more

Bulletin of the American Physical SocietyNov 18, 20110 citations

Proceedings of the conference : progress in nonequilibrium green's functions, Dresden, Germany 19-23 August 2002

M. Bönitz, D. Semkat

Nonequilibrium Green's Functions: History, General Problems, Plasmas: Real-Time Nonequilibrium Green's Functions (L V Keldysh) Theory of High-Tc Superconductivity in Layered Cuprates (A A Abrikosov) Correlated Quantum Plasmas in Strong Laser Fields (M Schlanges et al.) Quantum Transport in Semiconductors: Non-Equilibrium Green's Functions in Semiconductor Device Modeling (R Lake et al.) Nonequilibrium Green Function Modelling of Transport in Mesoscopic Systems (A-P Jauho) Bohm Trajectories in Quantum Transport (J R Barker) Optical and Electronic Properties of Semiconductors: Coulomb Correlations in the Quantum Kinetics of Electron Phonon Systems (W Schafer et al.) Excitonic Quantum Coherences and Correlations in Semiconductor Quantum Wells (R Binder et al.) Nuclear Matter and High Energy Physics: Renormalization of Self-Consistent F-Derivable Approximations (H van Hees & J Knoll) Crossover from Neutron-Proton Superfluidity to Bose-Einstein Condensation of Deuterons in Nuclear Matter (A A Isayev) Kinetics of Vacuum Pair Creation in Strong Electromagnetic Fields (A V Tarakanov et al.) Alternative Computational Methods: Time-Dependent Density Functional Theory from a Practitioners Perspective (K Andrae et al.) Combination of Quantum Kinetic Theory and First-Principle Simulations for Strongly Correlated Quantum Plasmas (M Bonitz et al.) Tunneling of Interacting Identical Particles (Yu E Lozovik et al.) and other papers.Nonequilibrium Green's Functions: History, General Problems, Plasmas: Real-Time Nonequilibrium Green's Functions (L V Keldysh) Theory of High-Tc Superconductivity in Layered Cuprates (A A Abrikosov) Correlated Quantum Plasmas in Strong Laser Fields (M Schlanges et al.) Quantum Transport in Semiconductors: Non-Equilibrium Green's Functions in Semiconductor Device Modeling (R Lake et al.) Nonequilibrium Green Function Modelling of Transport in Mesoscopic Systems (A-P Jauho) Bohm Trajectories in Quantum Transport (J R Barker) Optical and Electronic Properties of Semiconductors: Coulomb Correlations in the Quantum Kinetics of Electron Phonon Systems (W Schafer et al.) Excitonic Quantum Coherences and Correlations in Semiconductor Quantum Wells (R Binder et al.) Nuclear Matter and High Energy Physics: Renormalization of Self-Consistent F-Derivable Approximations (H van Hees & J Knoll) Crossover from Neutron-Proton Superfluidity to Bose-Einstein Condensation of Deuterons in Nuclear Matter (A A Isayev) Kinetics of Vacuum Pair Creation in Strong Electromagnetic Fields (A V Tarakanov et al.) Alternative Computational Methods: Time-Dependent Density Functional Theory from a Practitioners Perspective (K Andrae et al.) Combination of Quantum Kinetic Theory and First-Principle Simulations for Strongly Correlated Quantum Plasmas (M Bonitz et al.) Tunneling of Interacting Identical Particles (Yu E Lozovik et al.) and other papers.

WORLD SCIENTIFIC eBooksJan 1, 20033 citations

Equivalence of kinetic theories of Bose-Einstein condensation

J. Wachter, R. Walser, J. Cooper +1 more

We discuss the equivalence of two nonequilibrium kinetic theories that describe the evolution of a dilute, Bose-Einstein condensed atomic gas in a harmonic trap. The second-order kinetic equations of Walser et al. [Phys. Rev. A 63, 013607 (2001)] reduce to the Gross-Pitaevskii equation and the quantum Boltzmann equation in the low- and high-temperature limits, respectively. These kinetic equations thus describe the system in equilibrium (finite temperature) as well as in nonequilibrium (real time). We have found this theory to be equivalent to the nonequilibrium Green's function approach originally proposed by Kadanoff and Baym and more recently applied to inhomogeneous trapped systems by Imamovi\ifmmode \acute{c}\else \'{c}\fi{}-Tomasovi\ifmmode \acute{c}\else \'{c}\fi{} and Griffin [in Progress in Nonequilibrium Green's Functions, edited by M. Bonitz (World Scientific, Singapore, 2000), p. 404].We discuss the equivalence of two nonequilibrium kinetic theories that describe the evolution of a dilute, Bose-Einstein condensed atomic gas in a harmonic trap. The second-order kinetic equations of Walser et al. [Phys. Rev. A 63, 013607 (2001)] reduce to the Gross-Pitaevskii equation and the quantum Boltzmann equation in the low- and high-temperature limits, respectively. These kinetic equations thus describe the system in equilibrium (finite temperature) as well as in nonequilibrium (real time). We have found this theory to be equivalent to the nonequilibrium Green's function approach originally proposed by Kadanoff and Baym and more recently applied to inhomogeneous trapped systems by Imamovi\ifmmode \acute{c}\else \'{c}\fi{}-Tomasovi\ifmmode \acute{c}\else \'{c}\fi{} and Griffin [in Progress in Nonequilibrium Green's Functions, edited by M. Bonitz (World Scientific, Singapore, 2000), p. 404].

arXiv:cond-mat/0105181Physical Review AOct 12, 200133 citations

Nonequilibrium green's functions and kinetic equations for highly excited semiconductors

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Nonequilibrium green's functions and kinetic equations for highly excited semiconductors

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