Exact solution of the Heisenberg XXZ model of spin s

Exact solution of the Heisenberg XXZ model of spin s

A generalization of the Heisenberg XXZ model to the case of arbitrary spin with anisotropy of light-plane type is investigated. The base state of the system, the spectrum of excitations over it, and their scattering matrix are found. The magnetic susceptibility of the model for small magnetic fields...

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Veröffentlicht in:J. Sov. Math.; (United States) 1986-11, Vol.35 (4), p.2627-2643
Hauptverfasser: Kirillov, A. N., Reshetikhin, N. Yu
Format: Artikel
Sprache:eng
Schlagworte:
645400 - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
BOUND STATE
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPOSITE MODELS
CRYSTAL MODELS
EIGENVALUES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
EXCITED STATES
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FOURIER TRANSFORMATION
GROUND STATES
HAMILTONIANS
HEISENBERG MODEL
INTEGRAL TRANSFORMATIONS
MAGNETIC FIELDS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
PAULI SPIN OPERATORS
PHYSICAL PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
R MATRIX
S MATRIX
SINE-GORDON EQUATION
SPECTRA
SPIN
STRING MODELS
THERMODYNAMICS
TRANSFORMATIONS
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Beschreibung
Zusammenfassung:A generalization of the Heisenberg XXZ model to the case of arbitrary spin with anisotropy of light-plane type is investigated. The base state of the system, the spectrum of excitations over it, and their scattering matrix are found. The magnetic susceptibility of the model for small magnetic fields and the low-temperature heat capacity are computed.
ISSN:0090-4104
1573-8795
DOI:10.1007/BF01083768