D. A. Zezyulin

most citedBifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations

9 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

physics.optics2023

Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields

D. I. Borisov, D. A. Zezyulin

It has been recently shown that complex two-dimensional (2D) potentials $V_{ε} (x, y) = V (y + i ε η (x))$ can be used to emulate non-Hermitian matrix gauge fields…

math-ph2020★ 9 cited

Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations

D. I. Borisov, D. A. Zezyulin, M. Znojil

We consider the operator $H = H^{'} - \frac{\partial ^{2}}{\partial x _{d}^{2}} on ω \times R$ subject to the Dirichlet or Robin condition, where a dom…