Research

Papers:

1. (with M. Assal and S. Fujiié) Transition of the semiclassical resonance widths across a tangential crossing energy-level, Journal de Mathématiques Pures et Appliquées Vol. 191(2024), 193634. Preprint Article

2. Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime, Letters in Mathematical Physics 114, 61(2024). Preprint  Article

3. (with H. Morioka and E. Segawa) Resonance expansion for quantum walks and its applications to the long-time behavior, Journal of Spectral Theory 14(2024), no.1, pp. 207-244. Preprint Article

4. (with H. Morioka)  Complex translation methods and its application to resonances for quantum walks, Reviews in Mathematical Physics Vol. 36, No. 07, 2450018.  Preprint Article

5. (with M. Assal and S. Fujiié) Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories, International Mathematics Research Notices Volume 2024(8), pp. 6879--6905. Preprint Article

6. Résonances semiclassiques engendrées par des croisements de trajectoires semiclassiques (Semiclassical resonances generated by crossings of classical trajectories), Comptes Rendus Mathématique 359(2) pp. 657-663, (2021). Preprint Article

7. (with T. Komatsu, N. Konno, H. Morioka, and E. Segawa) A discontinuity of the energy of quantum walk in impurities, Symmetry 13(7) 1134 (2021). Preprint Article

8. Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk, Journal of Physics A: Mathematical and Theoretical 54(23) 235203 (2021). Preprint Article

9. Resonance free domain for a system of Schrödinger operators with energy-level crossings, Reviews in Mathematical Physics 33(3) 2150007 (2021). Preprint Article

Preprint(s):

• (with T. Watanabe) Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections, arXiv:2404.17777.

• (with V. Louatron and K. Taira) A microlocal Cauchy problem through a crossing point of Hamiltonian flows, arXiv:2504.13693.

• Resonant tunneling effect for quantum walks on directed graphs, arXiv:2504.15584.