4 papers
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…
Regular Bohr-Sommerfeld rules for non-self-adjoint Berezin--Toeplitz operators and complex Lagrangian states
Alix Deleporte, Yohann Le Floch
We describe the eigenvalues and eigenvectors of real-analytic, non-self-adjoint Berezin--Toeplitz operators, up to exponentially small error, on complex one-dimensional compact man…
Families of four-dimensional integrable systems with -symmetries
Yohann Le Floch, Joseph Palmer
The aim of this paper is to give new insights about families of integrable systems lifting a Hamiltonian -space. Specifically, we study one-parameter families $(M^4,Ï,F_t=(J,…
The inverse spectral problem for quantum semitoric systems
Yohann Le Floch, San VÅ© 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…