Abstract
The semiclassical asymptotic distribution of resonances was studied in Fujiie et al. (Widths of resonances above an energy-level crossing, arXiv:1904.12511) for a one-dimensional Schrodinger operator with a 2 × 2 matrix-valued potential, under the condition that the characteristic set consists of a periodic closed trajectory and a non-trapping trajectory crossing transversally to each other. In this report, the connection formula of microlocal solutions near a crossing point is given for more general semiclassical pseudo-differential operators.
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