67 citations · 491 across the 27 of their papers we have counts for
26 papers
Dispersion and entropy-like measures of multidimensional harmonic systems. Application to Rydberg states and high-dimensional oscillators
J. S. Dehesa, I. V. Toranzo
The spreading properties of the stationary states of the quantum multidimensional harmonic oscillator are analytically discussed by means of the main dispersion measures (radial ex…
Analytical Shannon information entropies for all discrete multidimensional hydrogenic states
Irene V. Toranzo, David Puertas-Centeno, Nahual Sobrino +1
The entropic uncertainty measures of the multidimensional hydrogenic states quantify the multiple facets of the spatial delocalization of the electronic probability density of the…
Linearization and Krein-like functionals of hypergeometric orthogonal polynomials
J. S. Dehesa, J. J. Moreno-Balcázar, I. V. Toranzo
The Krein-like -functionals of the hypergeometric orthogonal polynomials with kernel of the form , being the…
Exact Shannon entropies for the multidimensional harmonic states
I. V. Toranzo, J. S. Dehesa
In this work we determine and discuss the entropic uncertainty measures of Shannon type for all the discrete stationary states of the multidimensional harmonic systems directly in…
Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces
D. Puertas-Centeno, I. V. Toranzo, J. S. Dehesa
The Rényi entropies of Coulomb systems are logarithms of power functionals of the electron density which quantify most appropriately the ele…
Exact Rényi entropies of -dimensional harmonic systems
D. Puertas-Centeno, I. V. Toranzo, J. S. Dehesa
The determination of the uncertainty measures of multidimensional quantum systems is a relevant issue \textit{per se} and because these measures, which are functionals of the singl…
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…
Entropic measures of Rydberg-like harmonic states
J. S. Dehesa, I. V. Toranzo, D. Puertas-Centeno
The Shannon entropy, the desequilibrium and their generalizations (Rényi and Tsallis entropies) of the three-dimensional single-particle systems in a spherically-symmetric potentia…
Heisenberg-like uncertainty measures for -dimensional hydrogenic systems at large D
I. V. Toranzo, A. Martinez-Finkelshtein, J. S. Dehesa
The radial expectation values of the probability density of a quantum system in position and momentum spaces allow one to describe numerous physical quantities of the system as wel…
Entropic properties of -dimensional Rydberg systems
I. V. Toranzo, D. Puertas-Centeno, J. S. Dehesa
The fundamental information-theoretic measures (the Rényi and Tsallis entropies, ) of the highly-excited (Rydberg) quantum states of the -dimensional…
Rényi, Shannon and Tsallis entropies of Rydberg hydrogenic systems
I. V. Toranzo, J. S. Dehesa
The Rényi entropies of the probability density of a physical system completely characterize the chemical and physical properties of the…
Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics
A. I. Aptekarev, D. N. Tulyakov, I. V. Toranzo +1
The Rényi entropies , of the highly-excited quantum states of the -dimensional isotropic harmonic oscillator are analytically determined by use of the str…
Extremum-entropy-based Heisenberg-like uncertainty relations
I. V. Toranzo, S. López-Rosa, R. O. Esquivel +1
In this work we use the extremization method of various information-theoretic measures (Fisher information, Shannon entropy, Tsallis entropy) for -dimensional quantum systems, w…
Quantum Entanglement in -Spherium
I. V. Toranzo, A. R. Plastino, P. Sánchez-Moreno +1
There are very few systems of interacting particles (with continuous variables) for which the entanglement of the concomitant eigenfunctions can be computed in an exact, analytical…
Monotone measures of statistical complexity
Łukasz Rudnicki, Irene V. Toranzo, Pablo Sanchez-Moreno +1
We introduce and discuss the notion of monotonicity for the complexity measures of general probability distributions, patterned after the resource theory of quantum entanglement. T…
Heisenberg-like and Fisher-information-based uncertainty relations for -electron -dimensional systems
I. V. Toranzo, S. López-Rosa, R. O. Esquivel +1
Heisenberg-like and Fisher-information-based uncertainty relations which extend and generalize previous similar expressions are obtained for -fermion -dimensional systems. Th…
Entropy and complexity properties of the d-dimensional blackbody radiation
I. V. Toranzo, J. S. Dehesa
Space dimensionality is a crucial variable in the analysis of the structure and dynamics of natural systems and phenomena. The dimensionality effects of the blackbody radiation has…
Pauli effects in uncertainty relations
I. V. Toranzo, P. Sánchez-Morenob, R. O. Esquivel +1
In this letter we analyze the effect of the spin dimensionality of a physical system in two mathematical formulations of the uncertainty principle: a generalized Heisenberg uncerta…