Position-momentum uncertainty relations based on moments of arbitrary order
Quantum Physics
2011-12-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1112.6356,
title = {Position-momentum uncertainty relations based on moments of arbitrary order},
author = {Steeve Zozor and Mariela Portesi and Pablo Sanchez-Moreno and Jesus S. Dehesa},
journal= {arXiv preprint arXiv:1112.6356},
year = {2011}
}
Comments
31 pages, 9 figures