Position-momentum uncertainty relations based on moments of arbitrary order

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052107· OSTI ID:21546696

Zozor, Steeve ^[1]; Portesi, Mariela ^[2]; Sanchez-Moreno, Pablo ^[3]; Dehesa, Jesus S ^[3]

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1. Laboratoire Grenoblois d'Image, Parole, Signal et Automatique (GIPSA-Lab, CNRS), 961 rue de la Houille Blanche, F-38402 Saint Martin d'Heres (France)
2. Instituto de Fisica La Plata (CONICET), and Departamento de Fisica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata (Argentina)
3. Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, E-18071 Granada (Spain)

The position-momentum uncertainty-like inequality based on moments of arbitrary order for d-dimensional quantum systems, which is a generalization of the celebrated Heisenberg formulation of the uncertainty principle, is improved here by use of the Renyi-entropy-based uncertainty relation. The accuracy of the resulting lower bound is physico-computationally analyzed for the two main prototypes in d-dimensional physics: the hydrogenic and oscillator-like systems.

• OSTI ID: 21546696
• Journal Information: Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.052107; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

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