Shannon-like integrals of hypergeometric orthogonal polynomials with large parameters and applications to high-dimensional harmonic and hydrogenic systems

dc.creator	Valero Toranzo, Irene	es_ES
dc.date.accessioned	2020-06-04T07:35:25Z
dc.date.available	2020-06-04T07:35:25Z
dc.date.issued	2019
dc.identifier.uri	https://hdl.handle.net/2454/37060
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.language.iso	eng	en
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	en
dc.type	Contribución a congreso / Biltzarrerako ekarpena	es
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en