110 citations · 699 across the 81 of their papers we have counts for
82 papers
On perturbations of the spectrum of one-dimensional PT-symmetric periodic Schrodinger operator
P. G. Grinevich, I. A. Taimanov
For PT-symmetric periodic Schrodinger operator, which is a small perturbation of the zero potential, we calculate the spectrum and the divisor of zeroes of the Bloch function in th…
The Ozawa solution to the Davey--Stewartson II equations and surface theory
Yi C. Huang, Iskander A. Taimanov
We describe the Ozawa solution to the Davey--Stewartson II equation from the point of view of surface theory by presenting a soliton deformation of surfaces which is ruled by the O…
Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds
I. A. Taimanov
The connections between Euler's equations on central extensions of Lie algebras and Euler's equations on the original, extended algebras are described. A special infinite sequence…
Finite-zone PT-potentials
I. A. Taimanov
We give a description of finite-zone PT-potentials in terms of explicit theta functional formulas.
Floquet-Bloch functions on non-simply connected manifolds, the Aharonov-Bohm fluxes, and conformal invariants of immersed surfaces
I. A. Taimanov
Spectral (Bloch) varieties of multidimensional differential operators on non-simply connected manifolds are defined. In their terms it is given a description of the analytical depe…
Geometry and quasi-classical quantization of magnetic monopoles
I. A. Taimanov
We present the basic physical and mathematical ideas (P. Curie, Darboux, Poincare, Dirac) that led to the concept of magnetic charge, the general construction of magnetic Laplacian…