Shannon-like integrals of hypergeometric orthogonal polynomials with large parameters and applications to high-dimensional harmonic and hydrogenic systems
| dc.contributor.author | Valero Toranzo, Irene | |
| dc.date.accessioned | 2020-06-04T07:35:25Z | |
| dc.date.available | 2020-06-04T07:35:25Z | |
| dc.date.issued | 2019 | |
| dc.description | Resumen del trabajo presentado al Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación. Pamplona, 28-29 de marzo de 2019 | es_ES |
| dc.description.abstract | In this talk we determine the asymptotics of various logarithmic-type integral functionals of hypergeometric orthogonal polynomials (Laguerre, Gegenbauer) when their parameter α -> ∞. Then, we apply the corresponding results to find the physical Shannon entropies for all the stationary states of harmonic and hydrogenic systems with a very high dimensionality D. Briefly, it is found that these entropies have the same rate of growth, O (D log D), when D -> ∞ 1 for both types of quantum systems. | en |
| dc.format.extent | 1 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/37060 | |
| dc.language.iso | eng | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Shannon-like integrals | en |
| dc.subject | Hypergeometric orthogonal polynomials | en |
| dc.subject | High-dimensional harmonic systems | en |
| dc.subject | Hydrogenic systems | en |
| dc.title | Shannon-like integrals of hypergeometric orthogonal polynomials with large parameters and applications to high-dimensional harmonic and hydrogenic systems | en |
| dc.type | info:eu-repo/semantics/conferenceObject | |
| dspace.entity.type | Publication |