Plastino Luis | Universidad Nacional de La Plata (original) (raw)

Papers by Plastino Luis

We develop a dynamical model for the social impact of a University driven program for incubating ... more We develop a dynamical model for the social impact of a University driven program for incubating innovative enterprises.

... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras... more ... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras, frente a las actuales necesidades del sector de peque-ñas y medianas empresas. ... Page 9. Edgar Willis y Angel L Plastino Un escenario que impone nuevas organizaciones ...

... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras... more ... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras, frente a las actuales necesidades del sector de peque-ñas y medianas empresas. ... Page 9. Edgar Willis y Angel L Plastino Un escenario que impone nuevas organizaciones ...

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009

We deal with randomness quantifiers and concentrate on their ability to discern the hallmark of c... more We deal with randomness quantifiers and concentrate on their ability to discern the hallmark of chaos in time series used in connection with pseudo-random number generators (PRNGs). Workers in the field are motivated to use chaotic maps for generating PRNGs because of the simplicity of their implementation. Although there exist very efficient general-purpose benchmarks for testing PRNGs, we feel that the analysis provided here sheds additional didactic light on the importance of the main statistical characteristics of a chaotic map, namely (i) its invariant measure and (ii) the mixing constant. This is of help in answering two questions that arise in applications: (i) which is the best PRNG among the available ones? and (ii) if a given PRNG turns out not to be good enough and a randomization procedure must still be applied to it, which is the best applicable randomization procedure? Our answer provides a comparative analysis of several quantifiers advanced in the extant literature.

Journal of Physics: Conference Series, 2008

We find the Husimi distribution for the linear rigid rotator. The Husimi function can be viewed i... more We find the Husimi distribution for the linear rigid rotator. The Husimi function can be viewed in a variety of ways. In particular, we obtain it as the expectation value of the density operator in a suitable basis of coherent states. We employ the Schwinger's oscillator model for the construction of the angular momentum coherent states.

The European Physical Journal B, 2013

By appealing to a long list of different nonlinear maps we review the characterization of time se... more By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum Dmin-value such that forbidden patterns cannot appear for D < Dmin. The system's localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics' nature. We conclude that a more "robust" distinction between deterministic and stochastic dynamics is achieved via the present time series' treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.

There has been increasing research activity in recent years concerning the properties and the app... more There has been increasing research activity in recent years concerning the properties and the applications of nonlinear partial differential equations that are closely related to nonstandard entropic functionals, such as the Tsallis and Renyi entropies. It is well known that some fundamental partial differential equations of applied mathematics and of mathematical physics—such as the linear diffusion equation—are closely linked to the standard, logarithmic Boltzmann–Gibbs–Shannon–Jaynes entropic measure.Facultad de Ciencias Exacta

En este Proyecto se describen las características generales de un Nuevo Criterio para resolver el... more En este Proyecto se describen las características generales de un Nuevo Criterio para resolver el problema de la construcción de familias de objetos, mediante un programa de investigación científica (PIC). Con la Taxonomía Numérica se agrupan objetos, unidades taxonómicas operacionales en clusters (OTU´s o taxones o taxa), usando el análisis de estructura por medio de métodos numéricos. Estos clusters constituyen familias y surgen del análisis estructural, por su característica fenotípica. La Entidades formadas por dominios dinámicos de atributos, pueden cambiar de acuerdo, a los requerimientos taxonómicos: se forman familias o clusters por Clasificación de objetos, por métodos computacionales sin solapamiento entre familias, delimitación por invariantes aplicando el teorema de Tchebycheff y el máximo de la inecuación de Bienaymé-Tchebycheff, despues de normalizar el rango y con el principio de entropía máxima sobre espectros de objetos, original, y aplicando principio de interferen...

arXiv (Cornell University), Nov 16, 2011

Some quantal systems require only a small part of the full quantum theory for their analysis in c... more Some quantal systems require only a small part of the full quantum theory for their analysis in classical terms. In such understanding we review some recent literature on semiclassical treatments. An analysis of it allows one to see that some important quantum features of the harmonic oscillator can indeed be already encountered at the classical or semiclassical statistical levels.

Entropy, 2020

This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and st... more This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and statistical complexity, whose role is growing in different disciplines of physics and other sciences. These quantifiers are called L. Ruiz, Mancini, and Calvet (LMC) quantifiers, following the initials of the three authors who advanced them. We wish to establish information-theoretical bridges between LMC structural quantifiers and (1) Thermal Heisenberg uncertainties ΔxΔp (at temperature T); (2) A nuclear physics fermion model. Having achieved such purposes, we determine to what an extent our bridges can be extended to both the semi-classical and classical realms. In addition, we find a strict bound relating a special LMC structural quantifier to quantum uncertainties.

Quantum Reports, 2021

Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered... more Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.

Journal of Modern Physics, 2021

In many interesting physical examples, the partition function is divergent, as first pointed out ... more In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.

What is Quantum Information?

Nowadays, no one should doubt that quantum entanglement is (at least, one of) the characteristic ... more Nowadays, no one should doubt that quantum entanglement is (at least, one of) the characteristic traits of quantum mechanics. Furthermore, quantum information science is strongly influenced by the advantages provided by quantum entanglement, as the latter can be regarded as a genuine resource for an efficient (better-than-classical) processing of information in certain computational tasks. The very basic notion of correlation is fundamental for the conceptualization of the physical communicational problem and, as a consequence, for the notion of information itself. Thus, the question about the nature of quantum information is close (and unavoidably linked) to the question about the nature of quantum correlations.Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Bellomo, Guido. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentin

Quantum Reports, 2020

We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These s... more We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific N dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature T and the number of fermions N. A certain temperature increase ΔT produces, in thermal quantifiers (such as the entropy), quite different effects if N=4 or N=25. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the N value.

Se examina la posibilidad de predecir las transiciones de fase del estado fundamental de un siste... more Se examina la posibilidad de predecir las transiciones de fase del estado fundamental de un sistema cuantico finito, conociendo la entropia cuantica de estos estados, definida en base a la Teoria de la Informacion.

Las investigaciones actuales sobre modelos para la ensenanza de las ciencias se basan en concepci... more Las investigaciones actuales sobre modelos para la ensenanza de las ciencias se basan en concepciones constructivistas sobre el aprendizaje y en el aporte de la historia, la filosofia y la epistemologia genetica, dando cuenta de la vinculacion entre el conocimiento individual y la construccion historica del conocimiento cientifico. Asi las explicaciones causales y sucesivas que los ninos dan a los conceptos de mecanica son comparables a las explicaciones dadas en epocas primitivas y que determinaron las grandes revoluciones y los nuevos paradigmas de las ciencias. Las leyes sobre mecanica encierran una logica contraintuitiva que requieren un cambio conceptual y procedimental de apropiacion de conocimientos. Especialmente las nociones de velocidad, movimiento, aceleracion, constituyen conceptos basicos que, desde la estructura conceptual de la disciplina permiten modificar la estructura conceptual de los alumnos, lo cual implica ampliar la red de conceptos y significados. Para el log...

Numerical Taxonomy aims to group in clusters, using so-called structure analysis of operational t... more Numerical Taxonomy aims to group in clusters, using so-called structure analysis of operational taxonomic units (OTUs or taxons or taxa) through numerical methods. These clusters constitute families. Structural analysis, based on their phenotypic characteristics, exhibits the relationships, in terms of degrees of similarity, between two or more OTUs. Entities formed by dynamic domains of attributes, change according to taxonomical requirements: Classification of objects to form families or clusters. Taxonomic objects are here represented by application of the semantics of the Dynamic Relational Database Model. Families of OTUs are obtained employing as tools i) the Euclidean distance and ii) nearest neighbor techniques. Thus taxonomic evidence is gathered so as to quantify the similarity for each pair of OTUs (pair-group method) obtained from the basic data matrix. The main contribution of the present work is to introduce the concept of spectrum of the OTUs, based in the states of t...

Revista Mexicana De Fisica, 2000

Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro ... more Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - La Plata; Argentina. Universidad de Las Islas Baleares. Departamento de Fisica; Espana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Fisica; Argentina

Journal of Chaos, 2013

We consider here an environment in which the fact that a semiquantum Hamiltonian obeys SU(2) symm... more We consider here an environment in which the fact that a semiquantum Hamiltonian obeys SU(2) symmetries poses serious difficulties if one wants to compute Lyapunov exponents.

Entropy, 2020

There are entropic functionals galore, but not simple objective measures to distinguish between t... more There are entropic functionals galore, but not simple objective measures to distinguish between them. We remedy this situation here by appeal to Born’s proposal, of almost a hundred years ago, that the square modulus of any wave function | ψ | 2 be regarded as a probability distribution P. the usefulness of using information measures like Shannon’s in this pure-state context has been highlighted in [Phys. Lett. A1993, 181, 446]. Here we will apply the notion with the purpose of generating a dual functional [ F α R : { S Q } ⟶ R + ], which maps entropic functionals onto positive real numbers. In such an endeavor, we use as standard ingredients the coherent states of the harmonic oscillator (CHO), which are unique in the sense of possessing minimum uncertainty. This use is greatly facilitated by the fact that the CHO can be given analytic, compact closed form as shown in [Rev. Mex. Fis. E 2019, 65, 191]. Rewarding insights are to be obtained regarding the comparison between several st...

We develop a dynamical model for the social impact of a University driven program for incubating ... more We develop a dynamical model for the social impact of a University driven program for incubating innovative enterprises.

... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras... more ... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras, frente a las actuales necesidades del sector de peque-ñas y medianas empresas. ... Page 9. Edgar Willis y Angel L Plastino Un escenario que impone nuevas organizaciones ...

... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras... more ... Poco se ha inves-tigado y experimentado para aprender cómo hacer más permeables esas barreras, frente a las actuales necesidades del sector de peque-ñas y medianas empresas. ... Page 9. Edgar Willis y Angel L Plastino Un escenario que impone nuevas organizaciones ...

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009

We deal with randomness quantifiers and concentrate on their ability to discern the hallmark of c... more We deal with randomness quantifiers and concentrate on their ability to discern the hallmark of chaos in time series used in connection with pseudo-random number generators (PRNGs). Workers in the field are motivated to use chaotic maps for generating PRNGs because of the simplicity of their implementation. Although there exist very efficient general-purpose benchmarks for testing PRNGs, we feel that the analysis provided here sheds additional didactic light on the importance of the main statistical characteristics of a chaotic map, namely (i) its invariant measure and (ii) the mixing constant. This is of help in answering two questions that arise in applications: (i) which is the best PRNG among the available ones? and (ii) if a given PRNG turns out not to be good enough and a randomization procedure must still be applied to it, which is the best applicable randomization procedure? Our answer provides a comparative analysis of several quantifiers advanced in the extant literature.

Journal of Physics: Conference Series, 2008

We find the Husimi distribution for the linear rigid rotator. The Husimi function can be viewed i... more We find the Husimi distribution for the linear rigid rotator. The Husimi function can be viewed in a variety of ways. In particular, we obtain it as the expectation value of the density operator in a suitable basis of coherent states. We employ the Schwinger&amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;#39;s oscillator model for the construction of the angular momentum coherent states.

The European Physical Journal B, 2013

By appealing to a long list of different nonlinear maps we review the characterization of time se... more By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum Dmin-value such that forbidden patterns cannot appear for D < Dmin. The system's localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics' nature. We conclude that a more "robust" distinction between deterministic and stochastic dynamics is achieved via the present time series' treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.

There has been increasing research activity in recent years concerning the properties and the app... more There has been increasing research activity in recent years concerning the properties and the applications of nonlinear partial differential equations that are closely related to nonstandard entropic functionals, such as the Tsallis and Renyi entropies. It is well known that some fundamental partial differential equations of applied mathematics and of mathematical physics—such as the linear diffusion equation—are closely linked to the standard, logarithmic Boltzmann–Gibbs–Shannon–Jaynes entropic measure.Facultad de Ciencias Exacta

En este Proyecto se describen las características generales de un Nuevo Criterio para resolver el... more En este Proyecto se describen las características generales de un Nuevo Criterio para resolver el problema de la construcción de familias de objetos, mediante un programa de investigación científica (PIC). Con la Taxonomía Numérica se agrupan objetos, unidades taxonómicas operacionales en clusters (OTU´s o taxones o taxa), usando el análisis de estructura por medio de métodos numéricos. Estos clusters constituyen familias y surgen del análisis estructural, por su característica fenotípica. La Entidades formadas por dominios dinámicos de atributos, pueden cambiar de acuerdo, a los requerimientos taxonómicos: se forman familias o clusters por Clasificación de objetos, por métodos computacionales sin solapamiento entre familias, delimitación por invariantes aplicando el teorema de Tchebycheff y el máximo de la inecuación de Bienaymé-Tchebycheff, despues de normalizar el rango y con el principio de entropía máxima sobre espectros de objetos, original, y aplicando principio de interferen...

arXiv (Cornell University), Nov 16, 2011

Some quantal systems require only a small part of the full quantum theory for their analysis in c... more Some quantal systems require only a small part of the full quantum theory for their analysis in classical terms. In such understanding we review some recent literature on semiclassical treatments. An analysis of it allows one to see that some important quantum features of the harmonic oscillator can indeed be already encountered at the classical or semiclassical statistical levels.

Entropy, 2020

This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and st... more This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and statistical complexity, whose role is growing in different disciplines of physics and other sciences. These quantifiers are called L. Ruiz, Mancini, and Calvet (LMC) quantifiers, following the initials of the three authors who advanced them. We wish to establish information-theoretical bridges between LMC structural quantifiers and (1) Thermal Heisenberg uncertainties ΔxΔp (at temperature T); (2) A nuclear physics fermion model. Having achieved such purposes, we determine to what an extent our bridges can be extended to both the semi-classical and classical realms. In addition, we find a strict bound relating a special LMC structural quantifier to quantum uncertainties.

Quantum Reports, 2021

Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered... more Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.

Journal of Modern Physics, 2021

In many interesting physical examples, the partition function is divergent, as first pointed out ... more In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.

What is Quantum Information?

Nowadays, no one should doubt that quantum entanglement is (at least, one of) the characteristic ... more Nowadays, no one should doubt that quantum entanglement is (at least, one of) the characteristic traits of quantum mechanics. Furthermore, quantum information science is strongly influenced by the advantages provided by quantum entanglement, as the latter can be regarded as a genuine resource for an efficient (better-than-classical) processing of information in certain computational tasks. The very basic notion of correlation is fundamental for the conceptualization of the physical communicational problem and, as a consequence, for the notion of information itself. Thus, the question about the nature of quantum information is close (and unavoidably linked) to the question about the nature of quantum correlations.Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Bellomo, Guido. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentin

Quantum Reports, 2020

We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These s... more We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific N dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature T and the number of fermions N. A certain temperature increase ΔT produces, in thermal quantifiers (such as the entropy), quite different effects if N=4 or N=25. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the N value.

Se examina la posibilidad de predecir las transiciones de fase del estado fundamental de un siste... more Se examina la posibilidad de predecir las transiciones de fase del estado fundamental de un sistema cuantico finito, conociendo la entropia cuantica de estos estados, definida en base a la Teoria de la Informacion.

Las investigaciones actuales sobre modelos para la ensenanza de las ciencias se basan en concepci... more Las investigaciones actuales sobre modelos para la ensenanza de las ciencias se basan en concepciones constructivistas sobre el aprendizaje y en el aporte de la historia, la filosofia y la epistemologia genetica, dando cuenta de la vinculacion entre el conocimiento individual y la construccion historica del conocimiento cientifico. Asi las explicaciones causales y sucesivas que los ninos dan a los conceptos de mecanica son comparables a las explicaciones dadas en epocas primitivas y que determinaron las grandes revoluciones y los nuevos paradigmas de las ciencias. Las leyes sobre mecanica encierran una logica contraintuitiva que requieren un cambio conceptual y procedimental de apropiacion de conocimientos. Especialmente las nociones de velocidad, movimiento, aceleracion, constituyen conceptos basicos que, desde la estructura conceptual de la disciplina permiten modificar la estructura conceptual de los alumnos, lo cual implica ampliar la red de conceptos y significados. Para el log...

Numerical Taxonomy aims to group in clusters, using so-called structure analysis of operational t... more Numerical Taxonomy aims to group in clusters, using so-called structure analysis of operational taxonomic units (OTUs or taxons or taxa) through numerical methods. These clusters constitute families. Structural analysis, based on their phenotypic characteristics, exhibits the relationships, in terms of degrees of similarity, between two or more OTUs. Entities formed by dynamic domains of attributes, change according to taxonomical requirements: Classification of objects to form families or clusters. Taxonomic objects are here represented by application of the semantics of the Dynamic Relational Database Model. Families of OTUs are obtained employing as tools i) the Euclidean distance and ii) nearest neighbor techniques. Thus taxonomic evidence is gathered so as to quantify the similarity for each pair of OTUs (pair-group method) obtained from the basic data matrix. The main contribution of the present work is to introduce the concept of spectrum of the OTUs, based in the states of t...

Revista Mexicana De Fisica, 2000

Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro ... more Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - La Plata; Argentina. Universidad de Las Islas Baleares. Departamento de Fisica; Espana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Fisica; Argentina

Journal of Chaos, 2013

We consider here an environment in which the fact that a semiquantum Hamiltonian obeys SU(2) symm... more We consider here an environment in which the fact that a semiquantum Hamiltonian obeys SU(2) symmetries poses serious difficulties if one wants to compute Lyapunov exponents.

Entropy, 2020

There are entropic functionals galore, but not simple objective measures to distinguish between t... more There are entropic functionals galore, but not simple objective measures to distinguish between them. We remedy this situation here by appeal to Born’s proposal, of almost a hundred years ago, that the square modulus of any wave function | ψ | 2 be regarded as a probability distribution P. the usefulness of using information measures like Shannon’s in this pure-state context has been highlighted in [Phys. Lett. A1993, 181, 446]. Here we will apply the notion with the purpose of generating a dual functional [ F α R : { S Q } ⟶ R + ], which maps entropic functionals onto positive real numbers. In such an endeavor, we use as standard ingredients the coherent states of the harmonic oscillator (CHO), which are unique in the sense of possessing minimum uncertainty. This use is greatly facilitated by the fact that the CHO can be given analytic, compact closed form as shown in [Rev. Mex. Fis. E 2019, 65, 191]. Rewarding insights are to be obtained regarding the comparison between several st...