Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice

Yu M. Vorob'ev; S. Yu Dobrokhotov; V. P. Maslov

doi:10.1007/BF02107231

Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice

Yu M. Vorob'ev, S. Yu Dobrokhotov, V. P. Maslov

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Abstract

The one-dimensional anisotropic Heisenberg model in an external field is considered. For the corresponding energy operator with parameter[Figure not available: see fulltext.], the quasiclassical (h→0) spectral series are constructed using the method of the canonical operator. In the integrable case (in the absence of the external field) the results obtained coincide with the exact ones.

Original language	English
Pages (from-to)	3297-3306
Number of pages	10
Journal	Journal of Soviet Mathematics
Volume	31
Issue number	6
DOIs	https://doi.org/10.1007/BF02107231
State	Published - Dec 1985

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@article{04a78c06d56c4513aa38f35ad1de3203,

title = "Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice",

abstract = "The one-dimensional anisotropic Heisenberg model in an external field is considered. For the corresponding energy operator with parameter[Figure not available: see fulltext.], the quasiclassical (h→0) spectral series are constructed using the method of the canonical operator. In the integrable case (in the absence of the external field) the results obtained coincide with the exact ones.",

author = "Vorob'ev, {Yu M.} and Dobrokhotov, {S. Yu} and Maslov, {V. P.}",

year = "1985",

month = dec,

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T1 - Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice

AU - Vorob'ev, Yu M.

AU - Dobrokhotov, S. Yu

AU - Maslov, V. P.

PY - 1985/12

Y1 - 1985/12

N2 - The one-dimensional anisotropic Heisenberg model in an external field is considered. For the corresponding energy operator with parameter[Figure not available: see fulltext.], the quasiclassical (h→0) spectral series are constructed using the method of the canonical operator. In the integrable case (in the absence of the external field) the results obtained coincide with the exact ones.

AB - The one-dimensional anisotropic Heisenberg model in an external field is considered. For the corresponding energy operator with parameter[Figure not available: see fulltext.], the quasiclassical (h→0) spectral series are constructed using the method of the canonical operator. In the integrable case (in the absence of the external field) the results obtained coincide with the exact ones.

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U2 - 10.1007/BF02107231

DO - 10.1007/BF02107231

M3 - Artículo

SN - 0090-4104

VL - 31

SP - 3297

EP - 3306

JO - Journal of Soviet Mathematics

JF - Journal of Soviet Mathematics

IS - 6

ER -

Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice

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