Nicolas Raymond

collaborators

2 papers

math-ph2026

Semiclassical tunneling for some 1D SchrÃ¶dinger operators with complex-valued potentials

Martin Averseng, Nicolas Frantz, FrÃ©dÃ©ric HÃ©rau +1

We consider the non-selfadjoint, semiclassical SchrÃ¶dinger operator $L (h) := - h^{2} \partial_{x}^{2} + e^{i I^\pm} V$ , where $I^\pm \in (- I ¨ , I ¨ )$ and $V : R \to R_{+}$ is ev…

math-ph2025

Localization of the eigenfunctions of a Bloch-Torrey operator on the half-plane

We consider a non-self adjoint operator of the form $- h^{2} I^ + i (V (x) + I^\pm (x) y)$ on the upper half plane $y > 0$ with Dirichlet boundary conditions on ${y = 0}$ with $V \geq 0$ , $…