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TMF, 1982, Volume 50, Number 3, Pages 410–414 (Mi tmf2339)  

Perturbation theory in systems with long-range potential

G. V. Klimachev


Abstract: A one-dimensional model with interaction energy $E=-I\sum_{i\not=j} e^{-\gamma(|i-j|-1)} \mu_i \mu_j$ of a definite configuration of spins is considered. A perturbation theory for large $\gamma$ is developed, the zeroth approximation being the model with only nearest-neighbor interaction. It is shown that at large $\gamma$ the free energy can be represented by a series in powers of $e^{-\gamma}$. The values of $\gamma$ for which this expansion is valid are found. The possibility of applying the method to two- and three-dimensional systems is considered.

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English version:
Theoretical and Mathematical Physics, 1982, 50:3, 270–272

Bibliographic databases:

Received: 09.01.1981

Citation: G. V. Klimachev, “Perturbation theory in systems with long-range potential”, TMF, 50:3 (1982), 410–414; Theoret. and Math. Phys., 50:3 (1982), 270–272

Citation in format AMSBIB
\Bibitem{Kli82}
\by G.~V.~Klimachev
\paper Perturbation theory in systems with long-range potential
\jour TMF
\yr 1982
\vol 50
\issue 3
\pages 410--414
\mathnet{http://mi.mathnet.ru/tmf2339}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 50
\issue 3
\pages 270--272
\crossref{https://doi.org/10.1007/BF01016457}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PK24500011}


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