67 citations · 491 across the 27 of their papers we have counts for
7 papers · 1 filter
Biparametric complexities and the generalized Planck radiation law
David Puertas-Centeno, I. V. Toranzo, J. S. Dehesa
Complexity theory embodies some of the hardest, most fundamental and most challenging open problems in modern science. The very term complexity is very elusive, so that the main go…
Entropic uncertainty measures for large dimensional hydrogenic systems
D. Puertas-Centeno, N. M. Temme, I. V. Toranzo +1
The entropic moments of the probability density of a quantum system in position and momentum spaces describe not only some fundamental and/or experimentally accessible quantities o…
Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems
N. Sobrino-Coll, D. Puertas-Centeno, I. V. Toranzo +1
In this work we find that not only the Heisenberg-like uncertainty products and the Rényi-entropy-based uncertainty sum have the same first-order values for all the quantum states…
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters
N. M. Temme, I. V. Toranzo, J. S. Dehesa
The determination of the physical entropies (Rényi, Shannon, Tsallis) of high-dimensional quantum systems subject to a central potential requires the knowledge of the asymptotics o…
The biparametric Fisher-Rényi complexity measure and its application to the multidimensional blackbody radiation
D. Puertas-Centeno, I. V. Toranzo, J. S. Dehesa
We introduce a biparametric Fisher-Rényi complexity measure for general probability distributions and we discuss its properties. This notion, which is composed of two entropy-like…
Heisenberg and entropic uncertainty measures for large-dimensional harmonic systems
D. Puertas-Centeno, I. V. Toranzo, J. S. Dehesa
The -dimensional harmonic system (i.e., a particle moving under the action of a quadratic potential) is, together with the hydrogenic system, the main prototype of the physics o…
One-parameter Fisher-Rényi complexity: Notion and hydrogenic applications
Irene V. Toranzo, Pablo Sánchez-Moreno, Łukasz Rudnicki +1
In this work the one-parameter Fisher-Rényi measure of complexity for general -dimensional probability distributions is introduced and its main analytic properties are discussed…