Alain Grigis

activity

20122017

most citedResonance widths for the molecular predissociation

9 citations · 16 across the 2 of their papers we have counts for

collaborators

4 papers

math.AP2017

Excited resonance widths for Helmholtz resonators with straight neck

Thomas Duyckaerts, Alain Grigis, André Martinez

We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the…

math.AP2015★ 7 cited

Resonance widths for general Helmholtz Resonators with straight neck

Thomas Duyckaerts, Alain Grigis, André Martinez

We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in…

math-ph2012

Resonance widths in a case of multidimensional phase space tunneling

Alain Grigis, André Martinez

We consider a semiclassical $2 \times 2$ matrix Schrödinger operator of the form $P = - h^{2} Δ I_{2} + diag (x_{n} - μ, τ V_{2} (x)) + h R (x, h D_{x})$ , where $μ$ and $τ$ are two small positiv…

math-ph2012★ 9 cited

Resonance widths for the molecular predissociation

Alain Grigis, André Martinez

We consider a semiclassical $2 \times 2$ matrix Schrödinger operator of the form $P = - h^{2} Δ I_{2} + diag (V_{1} (x), V_{2} (x)) + h R (x, h D_{x})$ , where $V_{1}, V_{2}$ are real-analytic, $V_…