• Derivation of the Kinetic Equations for System in a Thermal Bath within the Method of Non-equilibrium Statistical Operator of D.N.Zubarev (1970);
  • Derivation of the Schrodinger-type Equation for a Dynamical System interacting with a Thermal Bath within the Method of Non-equilibrium Statistical Operator of D.N.Zubarev (1970);
  • Development of the Equation-of motion Methods for the Double-time Thermodynamic Green Functions for the Strongly Interacting Many-Particle Systems on a Lattice;
  • Formulation of the Method of Irreducible Green Functions for Interacting Fermions on a Lattice (1973-1975) ;
  • New Self-consistent Solution of the Strongly Correlated Hubbard Model (1975).
    Derivation of the Generalized Two-pole Solution of the Hubbard Model which contains the HUBBARD III and Roth Solutions as Particular Cases (1975-1978);
  • Studies of the Microscopic Models of Magnetism. Comparison of Itinerant and Localized Models of Magnetism.
    Formulation of a Criterion for the Applicability of the Microscopic Model to Particular Material. The statement is that the Studies of the High-energy Excitations (Stoner Excitations) Can be Useful Mark for Providing Such a Criterion (1976-1982).
  • In addition, some physical implications involved in a new concept, termed the "quantum protectorate", were developed in 1999-2002. This was done by considering the idea of quantum protectorate in the context of quantum theory of magnetism. It was suggested that the difficulties in the formulation of quantum theory of magnetism at the microscopic level, that are related to the choice of relevant models, can be understood better in the light of the "quantum protectorate" concept . It was argued that the difficulties in the formulation of adequate microscopic models of electron and magnetic properties of materials are intimately related to dual, itinerant and localized behaviour of electrons. A criterion of what basic picture describes best this dual behaviour was formulated. The main suggestion is that quasi-particle excitation spectra might provide distinctive signatures and good criteria for the appropriate choice of the relevant model.
  • Formulation of the Self-consistent Theory of the Electron-Phonon Interaction in Transition Metals, their Compounds and Disordered Alloys within the Modified Tight-Binding Approximation(1979-1982);
  • Derivation of the Strong-coupled Equations of Superconductivity for Transition Metals, their Compounds and Disordered Alloys in the Wannier Representation(1980-1983);
  • Formulation of the Consistent Theory of the Transport Coefficients in Solids within the Nonequilibrium Statistical Operator Method. Investigation of the resistivity of a model of transition metal with non-spherical Fermi surface. Clarification of the Role of the Electron-Phonon Interaction for the Electroconductivity of Disordered Alloys (1979-1983);
  • Theory of Quasiparticle Excitations in Magnetic and Diluted Magnetic Semiconductors and Perovskite Manganites;
    Self-consistent Theory of the Electron-Magnon Interaction. Theory of Magnetic Polaron (1984-2005);
  • Investigations of the Quasiparticle Many-Body Dynamics of the Basic Models of Solid State Theory (1973-2005):
    • Heisenberg Model, Heisenberg Two-Sublattice Antiferromagnet,
    • 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 (1998-2002);
  • Theory of Layered High-Tc Superconductors; Explanation of the Dependence of Transition Temperature on the Number of Layers in the Mercurocuprates (1996-2003);
  • Bound and Scattering States of Itinerant Charge Carriers in Complex Magnetic Materials (2004-2005);
  • Generalized Kinetic and Evolution Equations in the Approach of the Nonequilibrium Statistical Operator (2005);
  • Statistical Theory of Spin Relaxation and Diffusion in Solids (2005-2006);
  • Transport Theory of Non-equilibrium Processes (2007);
  • See also: Alexander Kuzemsky - Wikipedia, the free encyclopedia .

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