67 citations · 491 across the 27 of their papers we have counts for
18 papers · 1 filter
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…
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…
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…
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…
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…
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…
Entanglement in N-harmonium: bosons and fermions
C. L. Benavides-Riveros, I. V. Toranzo, J. S. Dehesa
The ground-state entanglement of a single particle of the N-harmonium system (i.e., a completely-integrable model of particles where both the confinement and the two-particle i…
Entropy and complexity analysis of hydrogenic Rydberg atoms
S. López-Rosa, I. V. Toranzo, P. Sánchez-Moreno +1
The internal disorder of hydrogenic Rydberg atoms as contained in their position and momentum probability densities is examined by means of the following information-theoretic spre…