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

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

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. © 1985 Plenum Publishing Corporation.

Original language	American English
Pages (from-to)	3297-3306
Number of pages	10
Journal	Journal of Soviet Mathematics
DOIs	https://doi.org/10.1007/BF02107231
State	Published - 1 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. {\textcopyright} 1985 Plenum Publishing Corporation.",

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

year = "1985",

month = dec,

day = "1",

doi = "10.1007/BF02107231",

language = "American English",

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journal = "Journal of Soviet Mathematics",

issn = "0090-4104",

publisher = "Consultants Bureau",

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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 - 1985/12/1

Y1 - 1985/12/1

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. © 1985 Plenum Publishing Corporation.

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. © 1985 Plenum Publishing Corporation.

U2 - 10.1007/BF02107231

DO - 10.1007/BF02107231

M3 - Article

SP - 3297

EP - 3306

JO - Journal of Soviet Mathematics

JF - Journal of Soviet Mathematics

SN - 0090-4104

ER -

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

Abstract

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