Parameter and q asymptotics of Lq-norms of hypergeometric orthogonal polynomials
dc.contributor.author | Sobrino Coll, Nahual Carlos | |
dc.contributor.author | Sánchez Dehesa, Jesús | |
dc.date.accessioned | 2023-06-28T18:20:48Z | |
dc.date.available | 2023-06-28T18:20:48Z | |
dc.date.issued | 2023-01 | |
dc.identifier.citation | International Journal of Quantum Chemistry 123(2) : (2023) // Article ID e27013 | es_ES |
dc.identifier.issn | 0020-7608 | |
dc.identifier.issn | 1097-461X | |
dc.identifier.uri | http://hdl.handle.net/10810/61787 | |
dc.description.abstract | The three canonical families of the hypergeometric orthogonal polynomials in a continuous real variable (Hermite, Laguerre, and Jacobi) control the physical wavefunctions of the bound stationary states of a great number of quantum systems [Correction added after first online publication on 21 December, 2022. The sentence has been modified.]. The algebraic Lq-norms of these polynomials describe many chemical, physical, and information theoretical properties of these systems, such as, for example, the kinetic and Weizsäcker energies, the position and momentum expectation values, the Rényi and Shannon entropies and the Cramér-Rao, the Fisher-Shannon and LMC measures of complexity. In this work, we examine review and solve the q-asymptotics and the parameter asymptotics (i.e., when the weight function's parameter tends towards infinity) of the unweighted and weighted Lq-norms for these orthogonal polynomials. This study has been motivated by the application of these algebraic norms to the energetic, entropic, and complexity-like properties of the highly excited Rydberg and high-dimensional pseudo-classical states of harmonic (oscillator-like) and Coulomb (hydrogenic) systems, and other quantum systems subject to central potentials of anharmonic type (such as, e.g., some molecu- lar systems) [Correction added after first online publication on 21 December, 2022. Oscillatorlike has been changed to oscillator-like.]. | es_ES |
dc.description.sponsorship | The work of J.S. Dehesa has been partially supported by the grant I+D+i of Junta de Andalucia with ref. P20-00082, and the grant PID2020-113390GB-I00 of the Agencia Estatal de Investigación (Spain) and the European Regional Development Fund (FEDER). The work of N. Sobrino has been partially supported by the grant IT1249-19 of Basque Government and UPV/EHU. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Wiley | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2020-113390GB-I00 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.title | Parameter and q asymptotics of Lq-norms of hypergeometric orthogonal polynomials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | © 2022 The Authors. International Journal of Quantum Chemistry published by Wiley Periodicals LLC. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. | es_ES |
dc.rights.holder | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/full/10.1002/qua.27013 | es_ES |
dc.identifier.doi | 10.1002/qua.27013 | |
dc.departamentoes | Polímeros y Materiales Avanzados: Física, Química y Tecnología | es_ES |
dc.departamentoeu | Polimero eta Material Aurreratuak: Fisika, Kimika eta Teknologia | es_ES |
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Except where otherwise noted, this item's license is described as © 2022 The Authors. International Journal of Quantum Chemistry published by Wiley Periodicals LLC.
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.