Minimum uncertainty for antisymmetric wave functions
量子物理
2025-01-10 v1 funct-an
泛函分析
摘要
We study how the entropic uncertainty relation for position and momentum conjugate variables is minimized in the subspace of one-dimensional antisymmetric wave functions. Based partially on numerical evidence and partially on analytical results, a conjecture is presented for the sharp bound and for the minimizers. Conjectures are also presented for the corresponding sharp Hausdorff-Young inequality.
引用
@article{arxiv.quant-ph/9706015,
title = {Minimum uncertainty for antisymmetric wave functions},
author = {L. L. Salcedo},
journal= {arXiv preprint arXiv:quant-ph/9706015},
year = {2025}
}
备注
20 pages RevTeX, 1 Postscript figure (epsf)