Courses ¨

DIAGRAMMATIC TECHNIQUE FOR NONEQUILIBRIUM PROCESSES
(P.I. Arseev)

  1. Evolution in quantum mechanics. Quantum kinetics and quantum statistics.
  2. Methods of calculating the kinetic characteristics of condensed matter physics. Weak and strong imbalanced states.
  3. Basics of constructing diagrammatic techniques for nonequilibrium processes.
  4. Green-Keldysh functions, the relationship between them.
  5. Rules for calculating diagrams for different types of interactions. The equations for the Keldysh-Green function.
  6. Communication between equations for Green's functions with the kinetic equation.
  7. The information contained in the Green-Keldysh functions. How are various physical quantities expressed by them.
  8. Examples of simple calculations of kinetic characteristics with the help of nonequilibrium diagrammatic technique.
  9. Tunnel contacts. Using nonequilibrium diagrammatic technique to describe them.
  10. More complicated tunnel system with multiple areas of tunnel crossings. Nonequilibrium characteristics of the intermediate areas.
  11. Accounting for the Coulomb interaction for the contacts of small size in the various approximations.
  12. How does the interaction with phonons and photons affect the tunneling characteristics.
  13. Some unsolved problems of description of nonequilibrium states in real systems.
  • REFERENCES
  • Principal:
    1. L.D. Landau, E.M. Lifshitz. Theoretical Physics, Physical kinetics t.X, (M. Fizmatlit 2002).
    2. G.D. Mahan, Many-Particle Physics (Plenum, New York, 1990).
  • More:
    1. L.V. Keldysh, Diagram technique for nonequilibrium processes, JETP. 47, 1515 (1964)
    2. J. Rammer, H. Smith. Quantum field theoretical methods in transport theory of metals, Rev.Mod.Phys. 58, 323 (1986)
    3. H.G. Schuster and V.R. Vieira, New method for studying disordered quantum systems, Phys.Rev.B 34, 190 (1986)
    4. 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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