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Minimum uncertainty for antisymmetric wave functions

L. L. Salcedo
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Abstract

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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L. L. Salcedo. 1997-06-05. Minimum uncertainty for antisymmetric wave functions. https://doi.org/10.1023/a%3A1007464229188

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