Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 63-76
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Yu. M. Vorob'ev; S. Yu. Dobrokhotov; V. P. Maslov. Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 63-76. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a4/
@article{ZNSL_1984_133_a4,
author = {Yu. M. Vorob'ev and S. Yu. Dobrokhotov and V. P. Maslov},
title = {Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {63--76},
year = {1984},
volume = {133},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a4/}
}
TY - JOUR
AU - Yu. M. Vorob'ev
AU - S. Yu. Dobrokhotov
AU - V. P. Maslov
TI - Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 63
EP - 76
VL - 133
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a4/
LA - ru
ID - ZNSL_1984_133_a4
ER -
%0 Journal Article
%A Yu. M. Vorob'ev
%A S. Yu. Dobrokhotov
%A V. P. Maslov
%T Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 63-76
%V 133
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a4/
%G ru
%F ZNSL_1984_133_a4
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.
