ALGEBRAIC PROPERTIES OF THE 1-DIMENSIONAL HEISENBERG SPIN FIELD MODEL(1)

Authors
ALFINIO E LEO M LEO RA PALESE M SOLIANI G
Citation
E. Alfinio et al., ALGEBRAIC PROPERTIES OF THE 1-DIMENSIONAL HEISENBERG SPIN FIELD MODEL(1), letters in mathematical physics, 32(3), 1994, pp. 241-248
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
32
Issue
3
Year of publication
1994
Pages
241 - 248
Database
ISI
SICI code
0377-9017(1994)32:3<241:APOT1H>2.0.ZU;2-Z
Abstract
The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimens ions. Using a special realization (an algebra of the Kac-Moody type) o f the arising incomplete prolongation Lie algebra, a whole family of n onlinear field equations containing the original Heisenberg system is generated.