String limit of the isotropic Heisenberg chain in the four-particle sector

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778808050037· OSTI ID:21402594

Antipov, A. G., E-mail: [e-mail]; Komarov, I. V., E-mail: ivkoma@rambler.r ^[1]

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1. St. Petersburg State University, Fock Institute of Physics (Russian Federation)

The quantum method of variable separation is applied to the spectral problem of the isotropic Heisenberg model. The Baxter difference equation is resolved by means of a special quasiclassical asymptotic expansion. States are identified by multiplicities of limiting values of the Bethe parameters. The string limit of the four-particle sector is investigated. String solutions are singled out and classified. It is shown that only a minor fraction of solutions demonstrate string behavior.

• OSTI ID: 21402594
• Journal Information: Physics of Atomic Nuclei, Vol. 71, Issue 5; Other Information: DOI: 10.1134/S1063778808050037; Copyright (c) 2008 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
EQUATIONS
HEISENBERG MODEL
MANY-BODY PROBLEM
MULTIPLICITY
QUANTUM MECHANICS
STRING MODELS
COMPOSITE MODELS
CRYSTAL MODELS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MECHANICS
PARTICLE MODELS
QUARK MODEL