The preprint Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement, by Elena Cordero, Gianluca Giacchi, Edoardo Pucci and S. Ivan Trapasso is now available on arXiv (arXiv:2508.02226).
We investigate how metaplectic operators are approximately diagonalized along the corresponding symplectic flows by exponentially localized Gabor wave packets at controlled Gelfand-Shilov regularity. As a byproduct, we obtain confinement results the solutions of quadratic Schrödinger equations.