Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model

Simple item page
dc.creatorKaashoek, M. A.
dc.creatorSakhnovich, A. L.
dc.date2004-10-20
dc.date.accessioned2026-07-07T06:22:50Z
dc.date.available2026-07-07T06:22:50Z
dc.descriptionA discrete analog of a skew selfadjoint canonical (Zakharov-Shabat or AKNS) system with a pseudo-exponential potential is introduced. For the corresponding Weyl function the direct and inverse problem are solved explicitly in terms of three parameter matrices. As an application explicit solutions are obtained for the discrete integrable nonlinear equation corresponding to the isotropic Heisenberg magnet model. State space techniques from mathematical system theory play an important role in the proofs.
dc.identifierhttps://arxiv.org/abs/math/0410438
dc.identifierhttp://arxiv.org/abs/math/0410438
dc.identifierJ. Funct. Anal. 228 (2005) 207-233
dc.identifierdoi:10.1016/j.jfa.2004.10.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96032
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject39A12; 35Q51; 35Q55
dc.titleDiscrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
dc.typetext

Files

Collections

arXiv