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- W4299600861 abstract "We investigate the simple resonances of a 2 by 2 matrix of n-dimensional semiclassical Shrodinger operators that interact through a first order differential operator. We assume that one of the two (analytic) potentials admits a well with non empty interior, while the other one is non trapping and creates a barrier between the well and infinity. Under a condition on the resonant state inside the well, we find an optimal lower bound on the width of the resonance. The method of proof relies on Carleman estimates, microlocal propagation of the microsupport, and a refined study of a non involutive double characteristic problem in the framework of Sjostrand's analytic microlocal theory." @default.
- W4299600861 created "2022-10-02" @default.
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- W4299600861 date "2018-06-19" @default.
- W4299600861 modified "2023-09-29" @default.
- W4299600861 title "Widths of highly excited resonances in multidimensional molecular predissociation" @default.
- W4299600861 doi "https://doi.org/10.48550/arxiv.1806.07142" @default.
- W4299600861 hasPublicationYear "2018" @default.
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