Algebraic Geometry Approach to the Bethe Equation for Hofstadter Type Models

Simple item page
dc.creatorLin, Shao-shiung
dc.creatorRoan, Shi-shyr
dc.date1999-12-29
dc.date2002-08-04
dc.date.accessioned2026-07-07T10:51:45Z
dc.date.available2026-07-07T10:51:45Z
dc.descriptionWe study the diagonalization problem of certain Hofstadter-type models through the algebraic Bethe ansatz equation by the algebraic geometry method. When the spectral variables lie on a rational curve, we obtain the complete and explicit solutions for models with the rational magnetic flux, and discuss the Bethe equation of their thermodynamic flux limit. The algebraic geometry properties of the Bethe equation on high genus algebraic curves are investigated in cooperation
dc.description28 pages, Latex ; Some improvement of presentations, Revised version with minor changes for journal publication
dc.identifierhttps://arxiv.org/abs/cond-mat/9912473
dc.identifierhttp://arxiv.org/abs/cond-mat/9912473
dc.identifierJ.Phys.A35:5907-5934,2002
dc.identifierdoi:10.1088/0305-4470/35/28/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184924
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.titleAlgebraic Geometry Approach to the Bethe Equation for Hofstadter Type Models
dc.typetext

Files

Collections

arXiv