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Analysis of institutional authors

Revuelta, FCorresponding AuthorBenito, R MAuthorVergini, EAuthor

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July 17, 2020
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Using basis sets of scar functions

Publicated to: Physical Review e. 87 (4): 042921- - 2013-04-23 87(4), DOI: 10.1103/PhysRevE.87.042921

Authors:

Revuelta, F; Benito, RM; Borondo, F; Vergini, E
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Affiliations

Comis Nacl Energia Atom, Dept Fis, RA-1429 Buenos Aires - Author
Grupo de Sistemas Complejos and Departamento de Física, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain. fabio.revuelta@upm.es - Author
Univ Autonoma Madrid, Inst Matemat ICMAT - Author
Univ Politecn Madrid, Escuela Tecn Super Ingn Agronomos, Dept Fis - Author
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Abstract

We present a method to efficiently compute the eigenfunctions of classically chaotic systems. The key point is the definition of a modified Gram-Schmidt procedure which selects the most suitable elements from a basis set of scar functions localized along the shortest periodic orbits of the system. In this way, one benefits from the semiclassical dynamical properties of such functions. The performance of the method is assessed by presenting an application to a quartic two-dimensional oscillator whose classical dynamics are highly chaotic. We have been able to compute the eigenfunctions of the system using a small basis set. An estimate of the basis size is obtained from the mean participation ratio. A thorough analysis of the results using different indicators, such as eigenstate reconstruction in the local representation, scar intensities, participation ratios, and error bounds, is also presented. DOI: 10.1103/PhysRevE.87.042921
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Keywords

Chaotic systemEigenfunctionsLimitMaslov indexesMatrix-elementsOrbitsQuantum-mechanicsSemiclassical quantizationWave-functions

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Physical Review e 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, 2013, it was in position 9/31, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Fluids & Plasmas.

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 2025-12-20:

  • WoS: 11
  • Scopus: 13
  • Europe PMC: 1
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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 2025-12-20:

  • 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: 6 (PlumX).

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

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

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 (REVUELTA PEÑA, FABIO) and Last Author (VERGINI, EDUARDO GERMAN).

the author responsible for correspondence tasks has been REVUELTA PEÑA, FABIO.

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Awards linked to the item

We thank the referees, whose comments helped to improve the presentation of the paper. This work was supported by MINECO (Spain), under projects MTM2009-14621 and ICMAT Severo Ochoa SEV-2011-0087, and by CEAL Banco de Santander-UAM. F. R. is grateful for the support from a doctoral fellowship from UPM and the hospitality of the members of the Departamento de Fisica in the Laboratorio TANDAR-Comision Nacional de la Energia Atomica, where part of this work was done.
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