Resonance free domain for a system of Schrödinger operators with energy-level crossings K Higuchi Reviews in Mathematical Physics 33 (03), 2150007, 2021 | 9 | 2021 |
Semiclassical resonance asymptotics for systems with degenerate crossings of classical trajectories M Assal, S Fujiie, K Higuchi International Mathematics Research Notices 2024 (8), 6879-6905, 2024 | 7 | 2024 |
Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk K Higuchi Journal of Physics A: Mathematical and Theoretical 54 (23), 235203, 2021 | 7 | 2021 |
A discontinuity of the energy of quantum walk in impurities K Higuchi, T Komatsu, N Konno, H Morioka, E Segawa Symmetry 13 (7), 1134, 2021 | 6 | 2021 |
Transition of the semiclassical resonance widths across a tangential crossing energy-level M Assal, S Fujiié, K Higuchi Journal de Mathématiques Pures et Appliquées 191, 103634, 2024 | 3 | 2024 |
Résonances semiclassiques engendrées par des croisements de trajectoires classiques K Higuchi Comptes Rendus. Mathématique 359 (6), 657-663, 2021 | 3 | 2021 |
Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime K Higuchi Letters in Mathematical Physics 114 (3), 61, 2024 | 2 | 2024 |
Feynman integral in quantum walk, barrier-top scattering and Hadamard Walk K Higuchi arXiv preprint arXiv:2101.07617, 2021 | 2 | 2021 |
Complex translation methods and its application to resonances for quantum walks K Higuchi, H Morioka Reviews in Mathematical Physics 36 (07), 2450018, 2024 | 1 | 2024 |
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections K Higuchi, T Watanabe arXiv preprint arXiv:2404.17777, 2024 | 1 | 2024 |
Resonance expansion for quantum walks and its applications to the long-time behavior K Higuchi, H Morioka, E Segawa Journal of Spectral Theory 14 (1), 207-244, 2024 | 1 | 2024 |
An example of “resonant reflecting” for matrix Schrödinger operators in the semiclassical limit (Spectral and Scattering Theory and Related Topics) K Higuchi 数理解析研究所講究録 2257, 24-33, 2023 | | 2023 |
Semiclassical approaches to generalizations of Landau-Zener formula for a two-level avoided crossing (Spectral and Scattering Theory and Related Topics) K Higuchi, T Watanabe 数理解析研究所講究録 2257, 1-23, 2023 | | 2023 |
Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity K Higuchi, H Morioka, E Segawa arXiv preprint arXiv:2108.01345, 2021 | | 2021 |
Discontinuity of the Energy of Quantum Walk in Impuritie. Symmetry 2021, 13, 1134 K Higuchi, T Komatsu, N Konno, H Morioka, EA Segawa Quantum Fields and Off-Shell Sciences, 125, 2021 | | 2021 |
Resonance free regions for systems of semiclassical Schrodinger operators and applications (Spectral and Scattering Theory and Related Topics) M Dimassi, K Higuchi 数理解析研究所講究録 2195, 148-156, 2021 | | 2021 |
Semiclassical Resonances Generated by Crossings of Classical Trajectories K Higuchi COMPTES RENDUS MATHEMATIQUE 359 (6), 657-663, 2021 | | 2021 |