2015/03/02 by Vishnu M. Bannur, Bannur, Vishnu M.
Mathematics · #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1503.00405
openalex publication_date 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.