11 citations · 11 across the 2 of their papers we have counts for
3 papers
math-ph2026
Functional models and self-modeling property of minimal Dirac operators on the half-line
M. I. Belishev, S. A. Simonov
We prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformat…
math.SP2011
Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations
Vladimir Lotoreichik, Sergey Simonov
The spectrum of the self-adjoint Schrödinger operator associated with the Kronig-Penney model on the half-line has a band-gap structure: its absolutely continuous spectrum consists…
math.SP2011★ 11 cited
Zeroes of the spectral density of the periodic Schroedinger operator with Wigner-von Neumann potential
Sergey Naboko, Sergey Simonov
We consider the Schroedinger operator L_α on the half-line with a periodic background potential and the Wigner-von Neumann potential of Coulomb type: csin(2ωx+d)/(x+1). It is known…