Abstract
The position-momentum uncertainty-like inequality based on moments of arbitrary order for -dimensional quantum systems, which is a generalization of the celebrated Heisenberg formulation of the uncertainty principle, is improved here by use of the Rényi-entropy-based uncertainty relation. The accuracy of the resulting lower bound is physico-computationally analyzed for the two main prototypes in -dimensional physics: the hydrogenic and oscillator-like systems.
2 More- Received 7 December 2010
DOI:https://doi.org/10.1103/PhysRevA.83.052107
©2011 American Physical Society