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arXiv:1504.01137 · Physics Letters A

Stronger Schrödinger-like uncertainty relations

Qiu-Cheng Song, Cong‐Feng Qiao

Published Jul 12, 2016• 49 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2016.06.054

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Recently, Maccone and Pati [Phys. Rev. Lett. {\bf 113}, 260401 (2014)] derived few inequalities among variances of incompatible operators which they called stronger uncertainty relations, stronger than Heisenberg-Robertson or Schrodinger uncertainty relations. Here we generalize their study to get infinite number of such inequalities and propose that only one of them may be the correct uncertainty relation between incompatible operators. We get back well known uncertainty relations of Heisenberg-Robertson and Schrodinger under certain limits. We also reexamine the conclusions of Maccone and Pati and comment on their work.