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- Title
Generalized Statistical Complexity and Fisher-Rényi Entropy Product in the H-Atom.
- Authors
Romera, E.; López-Ruiz, R.; Sañudo, J.; Nagy, A.
- Abstract
By using the Rényi entropy, and following the same scheme that in the Fisher-Rényi 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-Rényi 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 Rényi-like statistical magnitudes break the energy degeneration in the H-atom.
- Subjects
COMPUTATIONAL complexity; ATOMIC hydrogen; ENTROPY; ENERGY levels (Quantum mechanics); STATISTICAL physics; ANGULAR momentum (Nuclear physics)
- Publication
International Review of Physics, 2009, Vol 3, Issue 4, p207
- ISSN
1971-680X
- Publication type
Article