@misc{10481/71678,
year = {2021},
month = {10},
url = {http://hdl.handle.net/10481/71678},
abstract = {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.},
organization = {Agencia Estatal de Investigacion (Spain))	PID2020-113390GB-I00},
organization = {European Commission	FQM-207},
organization = {Agencia de Innovacion y Desarrollo de Andalucia	FQM-207},
publisher = {MDPI},
keywords = {High dimensional hydrogenic systems},
keywords = {Rényi entropies},
keywords = {Shannon entropies},
keywords = {Heisenberg-like uncertainty measures},
title = {High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures},
doi = {10.3390/e23101339},
author = {Sánchez-Dehesa Moreno-Cid, Jesús},
}