Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State
Quantum Physics
2007-05-23 v1
Abstract
We 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".
Cite
@article{arxiv.quant-ph/0703061,
title = {Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State},
author = {Maurice de Gosson and Franz Luef},
journal= {arXiv preprint arXiv:quant-ph/0703061},
year = {2007}
}
Comments
To appaer in Phys. Lett. A