A. Khrabustovskyi

activity

20102026

most citedBeyond local effective material properties for metamaterials

33 citations · 146 across the 30 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math-ph2015★ 5 cited

Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition

Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi +1

We analyze two-dimensional Schrödinger operators with the potential $∣ x y ∣^{p} - λ (x^{2} + y^{2})^{p / (p + 2)}$ where $p \geq 1$ and $λ \geq 0$ , which exhibit an abrupt change of its spectral prop…

math.SP2015

Gaps in the spectrum of a periodic quantum graph with periodically distributed $δ^{'}$ -type interactions

Diana Barseghyan, Andrii Khrabustovskyi

We consider a family of quantum graphs ${(Γ, A_{ε})}_{ε > 0}$ , where $Γ$ is a $Z^{n}$ -periodic metric graph and the periodic Hamiltonian $\mathcal…

Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition

Gaps in the spectrum of a periodic quantum graph with periodically distributed δ′-type interactions

Gaps in the spectrum of a periodic quantum graph with periodically distributed $δ^{'}$ -type interactions