4 citations · 4 across the 3 of their papers we have counts for
3 papers
math-ph2026
Scattering and inverse scattering for multipoint potentials at high energies
P. C. Kuo, R. G. Novikov
We consider the Schrödinger equation with a multipoint potential of Bethe-Peierls-Thomas-Fermi type. For this singular potential, we develop scattering and inverse scattering at hi…
math-ph2013
Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue
R. G. Novikov, I. A. Taimanov, S. P. Tsarev
By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. The…
math-ph2013★ 4 cited
The Moutard transformation and two-dimensional multi-point delta-type potentials
R. G. Novikov, I. A. Taimanov
In the framework of the Moutard transformation formalism we find multi-point delta-type potentials of two-dimensional Schrodinger operators and their isospectral deformations on th…