Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds

Simple item page
dc.creatorNovikov, S. P.
dc.creatorDynnikov, I. A.
dc.date2000-03-10
dc.date.accessioned2026-07-07T04:27:42Z
dc.date.available2026-07-07T04:27:42Z
dc.descriptionEuler-Darboux-Backlund and Laplace transformations are considered for the one- and two-dimensional Schrodinger operators. Their discrete analogs are constructed and generalized for the multidimensional lattices and two-manifolds with special "black-white" triangulations. Nonstandard generalizations of the connections and curvature are constructed for the simplicial complexes. Exactly solvable 2D Schrodinger operators with nonstandard spectral properties are constructed in the continuous and discrete cases using Laplace chains with different restrictions.
dc.descriptionLaTeX, 66 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0003009
dc.identifierhttp://arxiv.org/abs/math-ph/0003009
dc.identifierRussian Math. Surveys 52 (1997), no. 5, 1057--1116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56516
dc.subjectMathematical Physics
dc.titleDiscrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
dc.typetext

Files

Collections

arXiv