Scientific Fields of Interests:

  • Methods and Models of Quantum Statistical Mechanics;
    Equation-of motion methods for the double-time thermodynamic Green Functions;
    Method of Irreducible Green Functions;
    Projection and Mori's Methods;
  • Transport Theory of Non-equilibrium Processes;
    Method of Non-equilibrium Statistical Operator of D.N.Zubarev;
    Foundation of Statistical Mechanics;

  • Quantum Theory of Itinerant and Localized Magnetism;
  • Strongly Correlated Electron Systems;
  • Quasiparticle Many-Body Dynamics of the Basic Models of Solid State Theory:
    • Heisenberg Model,
    • Hubbard Model,
    • Anderson Model,
    • s(d)-f- model and Kondo Lattice Model,
    • Two- and Many-Impurity Anderson Model;

  • Interplay and Competition of Itinerant and Localized Magnetoactive Electrons in Solids;
  • Scattering of Slow Neutrons in Condensed Matter;
  • Theory of High-Tc Superconductivity;
  • Layered High-Tc Superconductors; Mercurocuprates;
  • Interplay of Magnetism and Superconductivity;
  • Interplay of Heavy Fermion and Superconductivity;
  • Theory of Magnetic and Electronic Properties of
    Magnetic and Diluted Magnetic Semiconductors and Perovskite Manganites;