2012/01/31 by Łukasz Rudnicki, Pablo Sánchez-Moreno, Jesús S. Dehesa
Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Quantum Mechanics and Non-Hermitian Physics #Statistical Mechanics and Entropy #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/45/22/225303
published as J. Phys. A: Math. Theor. 45 (2012) 225303 · 13 pages, 3 figures
openalex publication_date 2012/05/17 · arxiv created 2013/05/21 · arxiv updated 2013/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The uncertainty relation based on the Shannon entropies of the probability densities in position and momentum spaces is improved for quantum systems in arbitrary D -dimensional spherically symmetric potentials. To find this, we have used the L p – L q norm inequality of De Carli and the logarithmic uncertainty relation for the Hankel transform of Omri. Applications to some relevant three-dimensional central potentials are shown.