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math-ph2025
Resonant tunneling effect for quantum walks on directed graphs
Kenta Higuchi
Quantum walks that depend smoothly on a small parameter are considered on directed graphs. The asymptotic behavior of the scattering matrix of the quantum walk as…
math-ph2021
Résonances Semiclassiques Engendrées par des Croisements de Trajectoires Classiques
Kenta Higuchi
We consider a system of one-dimensional semiclassical Schrödinger operators with small interactions with respect to the semiclassical parameter . We study the asympto…