Electronic Journal of Differential Equations,
Conference 04 (2000), pp. 1-10.

Title: A continuum approximation for the excitations of the (1, 1,...,1) interface in the 
quantum heisenberg model

Authors: Oscar Bolina (Univ. of California, Davis, CA, USA)
 Pierluigi Contucci (Univ. of California, Davis, CA, USA)
 Bruno Nachtergaele (Univ. of California, Davis, CA, USA)
 Shannon Starr (Univ. of California, Davis, CA, USA)
 
Abstract: 
It is shown that, with an appropriate scaling, the energy of low-lying 
excitations of the (1, 1,...,1) interface in the  d-dimensional 
quantum Heisenberg model are given by the spectrum of the  
(d-1)-dimensional Laplacian on a suitable domain.

Published July 12, 2000.
Math Subject Classifications: 82B10, 82B24, 82D40.
Key Words: Anisotropic Heisenberg ferromagnet; XXZ model; 
interface excitations; 111 interface.