DIAGRAMMATIC TECHNIQUE FOR NONEQUILIBRIUM PROCESSES (P.I. Arseev)
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- Evolution in quantum mechanics. Quantum kinetics and quantum statistics.
- Methods of calculating the kinetic characteristics of condensed matter physics. Weak and strong imbalanced states.
- Basics of constructing diagrammatic techniques for nonequilibrium processes.
- Green-Keldysh functions, the relationship between them.
- Rules for calculating diagrams for different types of interactions. The equations for the Keldysh-Green function.
- Communication between equations for Green's functions with the kinetic equation.
- The information contained in the Green-Keldysh functions. How are various physical quantities expressed by them.
- Examples of simple calculations of kinetic characteristics with the help of nonequilibrium diagrammatic technique.
- Tunnel contacts. Using nonequilibrium diagrammatic technique to describe them.
- More complicated tunnel system with multiple areas of tunnel crossings. Nonequilibrium characteristics of the intermediate areas.
- Accounting for the Coulomb interaction for the contacts of small size in the various approximations.
- How does the interaction with phonons and photons affect the tunneling characteristics.
- Some unsolved problems of description of nonequilibrium states in real systems.
REFERENCES
Principal:
- L.D. Landau, E.M. Lifshitz. Theoretical Physics, Physical kinetics t.X, (M. Fizmatlit 2002).
- G.D. Mahan, Many-Particle Physics (Plenum, New York, 1990).
More:
- L.V. Keldysh, Diagram technique for nonequilibrium processes, JETP. 47, 1515 (1964)
- J. Rammer, H. Smith. Quantum field theoretical methods in transport theory of metals, Rev.Mod.Phys. 58, 323 (1986)
- H.G. Schuster and V.R. Vieira, New method for studying disordered quantum systems,
Phys.Rev.B 34, 190 (1986)
- T. Tanamoto, M. Ueolo, Interplay between the Coulomb blockade and resonant tunneling studied by Keldysh Green functions, Phys.Rev. B 57, 14638 (2001).
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