O. O. Ibrogimov

collaborators

5 papers

math.SP2020

Sharp spectral bounds for complex perturbations of the indefinite Laplacian

Jean-Claude Cuenin, Orif O. Ibrogimov

We derive quantitative bounds for eigenvalues of complex perturbations of the indefinite Laplacian on the real line. Our results substantially improve existing results even for rea…

math.SP2019

Location of eigenvalues of non-self-adjoint discrete Dirac operators

Biagio Cassano, Orif O. Ibrogimov, David Krejcirik +1

We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex $ℓ^{p}$ -potentials for $1 \leq p \leq \infty$ . As a corollar…

math.SP2019

Spectral enclosures for non-self-adjoint discrete Schrödinger operators

Orif O. Ibrogimov, František Štampach

We study location of eigenvalues of one-dimensional discrete Schrödinger operators with complex $ℓ^{p}$ -potentials for $1 \leq p \leq \infty$ . In the case of $ℓ^{1}$ -potentials…

math.SP2019

Discrete eigenvalues of the spin-boson Hamiltonian with two photons: on a problem of Minlos and Spohn

Orif O. Ibrogimov

Under minimal regularity conditions on the photon dispersion and the coupling function, we prove that the spin-boson model with two massless photons in $R^{d}$ cannot have m…

math.SP2019

Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation

Orif O. Ibrogimov

We study the spectrum of the spin-boson Hamiltonian with two bosons for arbitrary coupling $α > 0$ in the case when the dispersion relation of the free field is a bounded function. W…