Minimum uncertainty for antisymmetric wave functions

Details Minimum uncertainty for antisymmetric wave functions Minimum uncertainty for antisymmetric wave functions

1997-06-05

arxiv.org/abs/quant-ph/9706015v1

Lett.Math.Phys. 43 (1998) 233-249

Physics

Quantum Physics

20 pages RevTeX, 1 Postscript figure (epsf)

Scientific paper

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.

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