3 papers
math.DG2025
Quantum propagation for Berezin-Toeplitz operators
Laurent Charles, Yohann Le Floch
We describe the asymptotic behaviour of the quantum propagator generated by a Berezin-Toeplitz operator with real-valued principal symbol. We also give precise asymptotics for smoo…
math.AP2025
Semiclassical defect measures of magnetic Laplacians on hyperbolic surfaces
Laurent Charles, Thibault Lefeuvre
On a closed hyperbolic surface, we investigate semiclassical defect measures associated with the magnetic Laplacian in the presence of a constant magnetic field. Depending on the e…
math.DG2025
Resolvents of Bochner Laplacians in the semiclassical limit
Laurent Charles
We introduce a new class of pseudodifferential operators, called Heisenberg semiclassical pseudodifferential operators, to study the space of sections of a power of a line bundle o…