This article is cited in 4 papers

Krylov–Bogoliubov–Mitropolsky averaging used to construct effective Hamiltonians in the theory of strongly correlated electron systems

A. P. Saiko

Theoretical and Practical Center in Physical Metallurgy, Belarus National Academy of Sciences, Minsk, Belarus

Abstract: We show that the Krylov–Bogoliubov–Mitropolsky averaging in the canonical formulation can be used as a method for constructing effective Hamiltonians in the theory of strongly correlated electron systems. As an example, we consider the transition from the Hamiltonians of the Hubbard and Anderson models to the respective Hamiltonians of the $t$–$J$ and Kondo models. This is a very general method, has several advantages over other methods, and can be used to solve a wide range of problems in the physics of correlated systems.

Keywords: Krylov–Bogoliubov–Mitropolsky averaging, effective Hamiltonian, Hubbard model, $t$–$J$ model, Anderson model, Kondo model.

Received: 19.12.2008
Revised: 12.03.2009

DOI: 10.4213/tmf6439

 English version: Theoretical and Mathematical Physics, 2009, 161:2, 1567–1572

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