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- W3100362918 abstract "We consider a $2times 2$ system of 1D semiclassical differential operators with two Schrodinger operators in the diagonal part and small interactions of order $h^nu$ in the off-diagonal part, where $h$ is a semiclassical parameter and $nu$ is a constant larger than $1/2$. We study the absence of resonance near a non-trapping energy for both Schrodinger operators in the presence of crossings of their potentials. The width of resonances is estimated from below by $Mhlog(1/h)$ and the coefficient $M$ is given in terms of the directed cycles of the generalized bicharacteristics induced by two Hamiltonians." @default.
- W3100362918 created "2020-11-23" @default.
- W3100362918 creator A5005481386 @default.
- W3100362918 date "2020-11-12" @default.
- W3100362918 modified "2023-09-24" @default.
- W3100362918 title "Resonance free domain for a system of Schrödinger operators with energy-level crossings" @default.
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- W3100362918 doi "https://doi.org/10.1142/s0129055x21500070" @default.
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