SEMICLASSICAL DESCRIPTION OF HEISENBERG MODELS VIA SPIN-COHERENT STATES

Citation
J. Schliemann et Fg. Mertens, SEMICLASSICAL DESCRIPTION OF HEISENBERG MODELS VIA SPIN-COHERENT STATES, Journal of physics. Condensed matter, 10(5), 1998, pp. 1091-1102
Citations number
19
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
09538984
Volume
10
Issue
5
Year of publication
1998
Pages
1091 - 1102
Database
ISI
SICI code
0953-8984(1998)10:5<1091:SDOHMV>2.0.ZU;2-0
Abstract
We use spin-coherent states as the basis of a time-dependent variation al ansatz for a semiclassical description of a large family of Heisenb erg models. In addition to following common approaches we also evaluat e the square variance (H-2) - (H)(2) Of the Hamiltonian in terms of co herent states. This quantity turns out to have a natural interpretatio n with respect to time-dependent solutions of the equations of motion and allows an estimate of quantum fluctuations in a semiclassical regi me to be made. The general results are applied to solitons, instantons and vortices in several one-and two-dimensional models.