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Position-momentum uncertainty relations based on moments of arbitrary order

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.

preprint2011arXivOpen access
Steeve ZozorMariela PortesiPablo Sanchez-MorenoJesus S. Dehesa
quant-ph
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Steeve ZozorMariela PortesiPablo Sanchez-MorenoJesus S. Dehesa

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