The exact realisation of the Lanczos Method for a quantum Many-Body System
Statistical Mechanics
2007-05-23 v1
Abstract
The Lanczos process has been analytically and exactly carried out for the spin 1/2 isotropic XY chain in the thermodynamic limit, yielding a form for the Lanczos coefficient . This coefficient has a monotonic variation for real positive and confirms a general theorem on the ground state properties of extensive Many-body Systems. The Taylor expansion of the coefficient about s=0 has a finite radius of convergence, and ground state estimates based on a finite truncation of this are shown to be asymptotic.
Keywords
Cite
@article{arxiv.cond-mat/9712284,
title = {The exact realisation of the Lanczos Method for a quantum Many-Body System},
author = {N. S. Witte},
journal= {arXiv preprint arXiv:cond-mat/9712284},
year = {2007}
}
Comments
4 pages + 5 postscript files, Latex2e + amstex + amssyb