Research
I study level crossing problems for matrix-valued operators, in particular Schrödinger operators. I am also interested in the quantum resonances generated by those crossings.
Keywords: microlocal and semiclassical analysis, spectral theory, matrix-valued operators, quantum resonances, characteristic sets crossings.
List of publications:
| Title | Link | Date |
|---|---|---|
|
A microlocal Cauchy problem through a crossing point of Hamiltonian flows (with
K. Higuchi and
K. Taira) |
arXiv preprint | 2025 |
|
Semiclassical resonances for matrix Schrödinger operators with vanishing interactions at crossings of
classical trajectories, Reviews in mathematical Physics. DOI: 10.1142/S0129055X24500582 |
arXiv preprint, article | 2024 |