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Kenta Higuchi
Kenta Higuchi
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Resonance free domain for a system of Schrödinger operators with energy-level crossings
K Higuchi
Reviews in Mathematical Physics 33 (03), 2150007, 2021
92021
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
72024
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
72021
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
62021
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
32024
Résonances semiclassiques engendrées par des croisements de trajectoires classiques
K Higuchi
Comptes Rendus. Mathématique 359 (6), 657-663, 2021
32021
Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime
K Higuchi
Letters in Mathematical Physics 114 (3), 61, 2024
22024
Feynman integral in quantum walk, barrier-top scattering and Hadamard Walk
K Higuchi
arXiv preprint arXiv:2101.07617, 2021
22021
Complex translation methods and its application to resonances for quantum walks
K Higuchi, H Morioka
Reviews in Mathematical Physics 36 (07), 2450018, 2024
12024
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
K Higuchi, T Watanabe
arXiv preprint arXiv:2404.17777, 2024
12024
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
12024
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
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