O. O. Ibrogimov

activity

20132020

most citedLocation of eigenvalues of non-self-adjoint discrete Dirac operators

17 citations · 29 across the 10 of their papers we have counts for

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Showing 2019Show all

4 papers · 1 filter

math.SP2019★ 17 cited

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★ 1 cited

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…