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Analysis of institutional authors

Valero Toranzo, ElioAuthorPuertas-Centeno, DavidAuthor

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January 23, 2023
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Heisenberg and Entropic Uncertainty Measures for Large-Dimensional Harmonic Systems

Publicated to: Entropy. 19 (4): 164- - 2017-04-01 19(4), DOI: 10.3390/e19040164

Authors:

Puertas-Centeno, David; Toranzo, Irene V; Dehesa, Jesus S
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Affiliations

Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain - Author
Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain - Author

Abstract

The D-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 of multidimensional quantum systems. In this work, we rigorously determine the leading term of the Heisenberg-like and entropy-like uncertainty measures of this system as given by the radial expectation values and the Renyi entropies, respectively, at the limit of large D. The associated multidimensional position-momentum uncertainty relations are discussed, showing that they saturate the corresponding general ones. A conjecture about the Shannon-like uncertainty relation is given, and an interesting phenomenon is observed: the Heisenberg-like and Renyi-entropy-based equality-type uncertainty relations for all of the D-dimensional harmonic oscillator states in the pseudoclassical (D -> infinity) limit are the same as the corresponding ones for the hydrogenic systems, despite the so different character of the oscillator and Coulomb potentials.
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Keywords

D-dimensional harmonic oscillatorD-dimensional quantum physicsEntanglementEntropic uncertainty measuresExcited-statesHarmonic states at large dimensionsInformation entropiesOrbital angular momentumPolynomialsPositionQuantum-mechanical oscillatorRadial and momentum expectation valuesRenyiWave-functions

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Entropy due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2017, it was in position 22/78, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Physics, Multidisciplinary. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Physics and Astronomy (Miscellaneous).

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-07:

  • WoS: 9
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-07:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 10.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 10 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 2.
  • The number of mentions on the social network X (formerly Twitter): 3 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Puertas Centeno, David) .

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Awards linked to the item

This work has been partially supported by the projects FQM-7276 and FQM-207 of the Junta de Andalucia and the MINECO (Ministerio de Economia y Competitividad)-FEDER (European Regional Development Fund) Grants FIS2014-54497P and FIS2014-59311-P. Irene V. Toranzo acknowledges the support of MEunder the program FPU.
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