41 citations · 94 across the 22 of their papers we have counts for
26 papers
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…
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…
On the spectrum of non degenerate magnetic Laplacian
Laurent Charles
We consider a compact Riemannian manifold with a Hermitian line bundle whose curvature is non degenerate. Under a general condition, the Laplacian acting on high tensor powers of t…
Landau levels on a compact manifold
Laurent Charles
We consider a magnetic Laplacian on a compact manifold, with a constant non-degenerate magnetic field. In the large field limit, it is known that the eigenvalues are grouped in clu…
Asymptotic representations of Hamiltonian diffeomorphisms and quantization
Laurent Charles, Leonid Polterovich
We show that for a special class of geometric quantizations with "small" quantum errors, the quantum classical correspondence gives rise to an asymptotic projective representation…
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…