Position-momentum uncertainty relations based on moments of arbitrary order

Details Position-momentum uncertainty relations based on moments of arbitrary order Position-momentum uncertainty relations based on moments of arbitrary order

2011-12-29

arxiv.org/abs/1112.6356v1

Phys. Rev. A 83 (2011) 052107

Physics

Quantum Physics

31 pages, 9 figures

Scientific paper

10.1103/PhysRevA.83.052107

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.

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