Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125262We discuss the relation between density matrices and the uncertainty principle; this allows us to justify and explain a recent statement by Man'ko et al. We thereafter use Hardy's uncertainty principle to prove a new result for Wigner distributions dominated by a Gaussian and we relate this result to the coarse-graining of phase-space by "quantum blobs".To appaer in Phys. Lett. AQuantum PhysicsRemarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum Statetext