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math-ph2024
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
Kenta Higuchi, Takuya Watanabe
In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and ener…
math-ph2024
Transition of the semiclassical resonance widths across a tangential crossing energy-level
Marouane Assal, Setsuro fujiie, Kenta Higuchi
We consider a 1D matrix-valued operator \eqref{System0} with two semiclassical Schrödinger operators on the diagonal entries and small interactions on the off-diagonal…