Sobrino-Coll, N.Puertas-Centeno, D.Toranzo, I. V.Dehesa, J. S.2024-10-152024-10-152017-08-14Sobrino-Coll, N., Puertas-Centeno, D., Toranzo, I. V., & Dehesa, J. S. (2017). Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems. Journal of Statistical Mechanics: Theory and Experiment, 2017(8), 083102. 10.1088/1742-5468/aa7df41742-5468 (online)https://hdl.handle.net/10115/40215In this work we find that not only the Heisenberg-like uncertainty products and the Rényi-entropy-based uncertainty sum have the same firstorder values for all the quantum states of the D-dimensional hydrogenic and oscillator-like systems, respectively, in the pseudoclassical (D → ∞) limit but a similar phenomenon also happens for both the Fisher-information-based uncertainty product and the Shannon-entropy-based uncertainty sum, as well as for the Crámer–Rao and Fisher–Shannon complexities. Moreover, we show that the López–Ruiz–Mancini–Calvet (LMC) and LMC-Rényi complexity measures capture the hydrogenic-harmonic dierence in the high dimensional limit already at first order.engD-dimensional quantum physicsD-dimensional hydrogenic systemsD-dimensional oscillator-like systemsUncertainty relations for high dimensional quantum systemsComplexity of high dimensional quantum systemsinfo:eu-repo/semantics/article10.1088/1742-5468/aa7df4info:eu-repo/semantics/embargoedAccess