High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures Sánchez-Dehesa Moreno-Cid, Jesús High dimensional hydrogenic systems Rényi entropies Shannon entropies Heisenberg-like uncertainty measures This work has been partially supported by the Grant PID2020-113390GB-I00 of the Agencia Estatal de Investigacion (Spain)) and the European Regional Development Fund (FEDER), and the Grant FQM-207 of the Agencia de Innovacion y Desarrollo de Andalucia. High dimensional atomic states play a relevant role in a broad range of quantum fields, ranging from atomic and molecular physics to quantum technologies. The D-dimensional hydrogenic system (i.e., a negatively-charged particle moving around a positively charged core under a Coulomblike potential) is the main prototype of the physics of multidimensional quantum systems. In this work, we review the leading terms of the Heisenberg-like (radial expectation values) and entropy-like (Rényi, Shannon) uncertainty measures of this system at the limit of high D. They are given in a simple compact way in terms of the space dimensionality, the Coulomb strength and the state’s hyperquantum numbers. The associated multidimensional position–momentum uncertainty relations are also revised and compared with those of other relevant systems. 2021-11-23T08:28:13Z 2021-11-23T08:28:13Z 2021-10-14 info:eu-repo/semantics/article Dehesa, J.S. High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures. Entropy 2021, 23, 1339. [https://doi.org/10.3390/e23101339] http://hdl.handle.net/10481/71678 10.3390/e23101339 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI