D. Grebenkov

most citedThe complex Airy operator with a semi-permeable barrier

22 citations · 22 across the 1 of their papers we have counts for

collaborators

2 papers

math-ph2017

On a Schrödinger operator with a purely imaginary potential in the semiclassical limit

Yaniv Almog, Denis Grebenkov, Bernard Helffer

We consider the operator $A_{h} = - Δ + iV$ in the semi-classical $h \to 0$ , where $V$ is a smooth real potential with no critical points. We obtain both the left margin…

math-ph2016★ 22 cited

The complex Airy operator with a semi-permeable barrier

D. S. Grebenkov, B. Helffer, R. Henry

We consider a suitable extension of the complex Airy operator, $- d^{2} / d x^{2} + i x$ , on the real line with a transmission boundary condition at the origin. We provide a rigorous defini…