13 citations · 36 across the 8 of their papers we have counts for
10 papers
Berezin-Toeplitz operators, Kodaira maps, and random sections
Michele Ancona, Yohann Le Floch
We study the zeros of sections of the form of a large power of a holomorphic positive Hermitian line bundle over a compact K\''ahler manifold , w…
The inverse spectral problem for quantum semitoric systems
Yohann Le Floch, San Vũ Ngoc
Given a quantum semitoric system composed of pseudodifferential operators, Berezin-Toeplitz operators, or a combination of both, we obtain explicit formulas for recovering, from th…
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…
Semitoric families
Yohann Le Floch, Joseph Palmer
Semitoric systems are a type of four-dimensional integrable system for which one of the integrals generates a global -action; these systems were classified by Pelayo and Vu Ng…
Bounds for fidelity of semiclassical Lagrangian states in K{ä}hler quantization
Yohann Le Floch
We define mixed states associated with submanifolds with probability densities in quantizable closed K{ä}hler manifolds. Then, we address the problem of comparing two such states v…
Symplectic geometry and spectral properties of classical and quantum coupled angular momenta
Yohann Le Floch, Álvaro Pelayo
We give a detailed study of the symplectic geometry of a family of integrable systems obtained by coupling two angular momenta in a non trivial way. These systems depend on a param…
Spectral asymptotics of semiclassical unitary operators
Yohann Le Floch, Alvaro Pelayo
This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semicla…
Inverse spectral theory for semiclassical Jaynes-Cummings systems
Yohann Le Floch, Álvaro Pelayo, San Vu Ngoc
Quantum semitoric systems form a large class of quantum Hamiltonian integrable systems with circular symmetry which has received great attention in the past decade. They include sy…
Euler-MacLaurin formulas via differential operators
Yohann Le Floch, Álvaro Pelayo
Recently there has been a renewed interest in asymptotic Euler-MacLaurin formulas, partly due to applications to spectral theory of differential operators. Using elementary means,…
Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case
Yohann Le Floch
In this article, we state the Bohr-Sommerfeld conditions around a singular value of hyperbolic type of the principal symbol of a self-adjoint semiclassical Toeplitz operator on a c…