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 TMF, 1974, Volume 21, Number 1, Pages 118–129 (Mi tmf3862)

On an effective Hamiltonian that describes quasihomeopolar excitations in the framework of the Hubbard model

V. A. Kapustin

Abstract: A graphical technique is constructed for calculating in perturbation theory the adiabatic $S$ matrix in the Hubbard model in the atomic limit. This graphical technique is used to prove a generalization of the connected graph theorem to the case when the $S$ matrix is restricted to the $2N$-dimensional homeopolar subspace ($N$ is the number of sites in the considered volume of the lattice). A direct consequence of this generalization is the existence of an effective Hamiltonian that describes quasihomeopolar excitations in the framework of the Hubbard model and does not contain volume divergences in any order in the coupling constant. Graphical rules are formulated for calculating this effective Hamiltonian.

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English version:
Theoretical and Mathematical Physics, 1974, 21:1, 1014–1022

Citation: V. A. Kapustin, “On an effective Hamiltonian that describes quasihomeopolar excitations in the framework of the Hubbard model”, TMF, 21:1 (1974), 118–129; Theoret. and Math. Phys., 21:1 (1974), 1014–1022

Citation in format AMSBIB
\Bibitem{Kap74} \by V.~A.~Kapustin \paper On~an~effective Hamiltonian that describes quasihomeopolar excitations in the framework of the Hubbard model \jour TMF \yr 1974 \vol 21 \issue 1 \pages 118--129 \mathnet{http://mi.mathnet.ru/tmf3862} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 21 \issue 1 \pages 1014--1022 \crossref{https://doi.org/10.1007/BF01035599} 

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This publication is cited in the following articles:
1. A. L. Kuzemsky, “Self-consistent theory of electron correlation in the Hubbard model”, Theoret. and Math. Phys., 36:2 (1978), 692–702
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