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25 April 2024
 
  » arxiv » quant-ph/9706015

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Minimum uncertainty for antisymmetric wave functions
L. L. Salcedo ;
Date 5 Jun 1997
Journal Lett.Math.Phys. 43 (1998) 233-249
Subject Quantum Physics; Functional Analysis | quant-ph funct-an math.FA
AbstractWe 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.
Source arXiv, quant-ph/9706015
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