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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2011

Position-momentum uncertainty relation based on power moments of arbitrary order

Résumé

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 Rényi-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.

Dates et versions

hal-00623690 , version 1 (14-09-2011)

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Citer

Steeve Zozor, Mariela Portesi, Pablo Sanchez-Moreno, Jesus S. Dehesa. Position-momentum uncertainty relation based on power moments of arbitrary order. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2011, 83 (5), pp.052107. ⟨10.1103/PhysRevA.83.052107⟩. ⟨hal-00623690⟩
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