Generalized statistical complexity and Fisher-Renyi entropy product in the $H$-atom

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dc.creatorRomera, E.
dc.creatorLopez-Ruiz, R.
dc.creatorSanudo, J.
dc.creatorNagy, A.
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:28:55Z
dc.date.available2026-07-07T12:28:55Z
dc.descriptionBy using the Renyi entropy, and following the same scheme that in the Fisher-Renyi entropy product case, a generalized statistical complexity is defined. Several properties of it, including inequalities and lower and upper bounds are derived. The hydrogen atom is used as a test system where to quantify these two different statistical magnitudes, the Fisher-Renyi entropy product and the generalized statistical complexity. For each level of energy, both indicators take their minimum values on the orbitals that correspond to the highest orbital angular momentum. Hence, in the same way as happens with the Fisher-Shannon and the statistical complexity, these generalized Renyi-like statistical magnitudes break the energy degeneration in the H-atom.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0901.1752
dc.identifierhttp://arxiv.org/abs/0901.1752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215706
dc.subjectPattern Formation and Solitons
dc.subjectAtomic Physics
dc.subjectComputational Physics
dc.titleGeneralized statistical complexity and Fisher-Renyi entropy product in the $H$-atom
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