The exact realisation of the Lanczos Method for a quantum Many-Body System

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dc.creatorWitte, N. S.
dc.date1997-12-24
dc.date.accessioned2026-07-07T03:09:42Z
dc.date.available2026-07-07T03:09:42Z
dc.descriptionThe 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 $β^2(s)$. This coefficient has a monotonic variation for real positive $s$ 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.
dc.description4 pages + 5 postscript files, Latex2e + amstex + amssyb
dc.identifierhttps://arxiv.org/abs/cond-mat/9712284
dc.identifierhttp://arxiv.org/abs/cond-mat/9712284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27988
dc.subjectStatistical Mechanics
dc.titleThe exact realisation of the Lanczos Method for a quantum Many-Body System
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