Schrödinger eigenfunctions sharing the same modulus and applications to the control of quantum systems

U Boscain, L Balc'h, M Sigalotti - Mathematics of Control, Signals, and …, 2025 - Springer
In this paper, we investigate when linearly independent eigenfunctions of the Schrödinger
operator may have the same modulus. General properties are established and the one …

Small-time controllability on the group of diffeomorphisms for Schr\" odinger equations

K Beauchard, E Pozzoli - arxiv preprint arxiv:2410.02383, 2024 - arxiv.org
In this work, we establish a link between the small-time approximate controllability of bilinear
Schr\" odinger PDEs (posed on a boundaryless Riemannian manifold $ M $) and the control …