5 papers
Periodic coherent states decomposition and quantum dynamics on the flat torus
Lorenzo Zanelli
We provide a result on the coherent states decomposition for functions in where . Suddenly, we study such a decomposition with r…
Schrödinger dynamics and optimal transport of measures on the torus
L. Zanelli
The aim of this paper is to recover displacement interpolations of probability measures, in the sense of the Optimal Transport theory, by semiclassical measures associated with sol…
An homogenization approach for the inverse spectral problem of periodic Schrödinger operators
Lorenzo Zanelli
We study the inverse spectral problem for periodic Schrödinger opera\-tors of kind on the flat torus with po…
On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation
Thierry Paul, Lorenzo Zanelli
In the framework of toroidal Pseudodifferential operators on the flat torus we begin by proving the closure under composition for the class of W…
Geometric approach to the Hamilton-Jacobi equation and global parametrices for the Schrödinger propagator
Sandro Graffi, Lorenzo Zanelli
We construct a family of Fourier Integral Operators, defined for arbitrary large times, representing a global parametrix for the Schrödinger propagator when the potential is quadra…