2009/07/03 by S. López‐Rosa, Lopez-Rosa, Sheila, Daniel Manzano +3
Chemistry · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #History and advancements in chemistry #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.0907.0570
openalex publication_date 2009/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The internal disorder of a D-dimensional hydrogenic system, which is strongly associated to the non-uniformity of the quantum-mechanical density of its physical states, is investigated by means of the shape complexity in the two reciprocal spaces. This quantity, which is the product of the disequilibrium and the Shannon entropic power, is mathematically expressed for both ground and excited stationary states in terms of certain entropic functionals of Laguerre and Gegenbauer (or ultraspherical) polynomials. Emphasis is made in the ground and circular states.