Raphael Henry

activity

20132026

most citedSpectral projections of the complex cubic oscillator

28 citations · 68 across the 8 of their papers we have counts for

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2 papers · 1 filter

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…

math-ph2015

Spectral analysis of a complex Schrödinger operator in the semiclassical limit

Yaniv Almog, Raphaël Henry

We consider the Dirichlet realization of the operator $- h^{2} Δ + iV$ in the semi-classical limit $h \to 0$ , where $V$ is a smooth real potential with no critical points. For a one dimens…