Multidimensional hydrogenic complexity
Quantum Physics
2009-07-09 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0907.0570,
title = {Multidimensional hydrogenic complexity},
author = {Sheila Lopez-Rosa and Daniel Manzano and Jesus S. Dehesa},
journal= {arXiv preprint arXiv:0907.0570},
year = {2009}
}
Comments
12 pages, 0 figures. Published in Mathematical Physics and Field Theory