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

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

2000-03-10

arxiv.org/abs/math-ph/0003009v1

Russian Math. Surveys 52 (1997), no. 5, 1057--1116

Physics

Mathematical Physics

LaTeX, 66 pages

Scientific paper

Euler-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.

Affiliated with

Also associated with

No associations

Rating

Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-359418