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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 133, Pages 63–76 (Mi znsl4410)  
Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice

Yu. M. Vorob'ev, S. Yu. Dobrokhotov, V. P. Maslov
Full-text PDF (713 kB)
Abstract: The one-dimensional anisotropic Heisenberg model in the exterior field is considered. For the corresponding energy operator with parameter $h$ the quasiclassical ($h\to0$) spectral expansion is constructed. In the integrable case (in the absence of the exteriour field) the results obtained coincide with the exact ones.
Bibliographic databases:
Document Type: Article
UDC: 517.958+530.145
Language: Russian
Citation: Yu. M. Vorob'ev, S. Yu. Dobrokhotov, V. P. Maslov, “Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice”, Differential geometry, Lie groups and mechanics. Part VI, Zap. Nauchn. Sem. LOMI, 133, "Nauka", Leningrad. Otdel., Leningrad, 1984, 63–76
Citation in format AMSBIB
\Bibitem{VorDobMas84}
\by Yu.~M.~Vorob'ev, S.~Yu.~Dobrokhotov, V.~P.~Maslov
\paper Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice
\inbook Differential geometry, Lie groups and mechanics. Part~VI
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 133
\pages 63--76
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4410}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=742149}
\zmath{https://zbmath.org/?q=an:0537.58028}
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