activity
20162022
most citedThe inverse spectral problem for quantum semitoric systems

3 citations · 5 across the 2 of their papers we have counts for

collaborators

6 papers

math.CV2022

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…

math-ph2021★ 3 cited

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…

math.DG2020★ 2 cited

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.SG2018

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…

math-ph2017

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…

math-ph2016

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…