Statistical Green's Functions
arXiv:cond-mat/9812274
Abstract
The basic mathematical properties of Green's functions used in statistical mechanics as well as the equations defining these functions and the techniques of solving these equations are reviewed. An approach is presented called the Correlated Iteration Theory, which has been developed by the author. This approach differs from all other known variants of perturbation theory for Green's functions by the combination of two factors: the systematic formulation of an algorithm for obtaining subsequent approximations and the consistent consideration of interparticle correlations at each step of the procedure.
3 LaTex files, 129 pages, Published as a book by Queen's University Press, Kingston, Canada, 1998
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- Representative statistical ensembles for Bose systems with broken gauge symmetry
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- Modified semiclassical approximation for trapped Bose gases
- Resonant Generation of Topological Modes in Trapped Bose Gases
- Self-Consistent Theory of Bose-Condensed Systems
- Theory of Cold Atoms: Basics of Quantum Statistics
- Nonequivalent operator representations for Bose-condensed systems
- Bose-Einstein-condensed gases with arbitrary strong interactions
- Entanglement Measure for Composite Systems
- Quantifying Entanglement Production of Quantum Operations
- Stratification of Moving Multicomponent Bose-Einstein Condensates
- Nonequilibrium Bose systems and nonground-state Bose-Einstein condensates
- Normal and Anomalous Averages for Systems with Bose-Einstein Condensate
- Nonequilibrium representative ensembles for isolated quantum systems
- Regulating entanglement production in multitrap Bose-Einstein condensates
- Evolutional Entanglement in Nonequilibrium Processes
- Irreversibility of Time for Quasi-Isolated Systems
- Stochastic Instability of Quasi-Isolated Systems
- Resonant Bose Condensate: Analog of Resonant Atom
- Multiple Coupling of Topological Coherent Modes of Trapped Atoms
- Models of Mixed Matter
- From Asymptotic Series to Self-Similar Approximants
- Structure factor of Bose-condensed systems