Abstract
We consider a semiclassical matrix Schrödinger operator of the form
where , are real-analytic, admits a nondegenerate minimum at 0 with , is nontrapping at energy , and is a symmetric matrix of first-order pseudodifferential operators with analytic symbols. We also assume that . Then, denoting by the first eigenvalue of , and under some ellipticity condition on and additional generic geometric assumptions, we show that the unique resonance of such that (as ) satisfies
where is a symbol with , is the so-called Agmon distance associated with the degenerate metric , between 0 and , and , are integers that depend on the geometry.
Citation
Alain Grigis. André Martinez. "Resonance widths for the molecular predissociation." Anal. PDE 7 (5) 1027 - 1055, 2014. https://doi.org/10.2140/apde.2014.7.1027
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