Multidimensional hydrogenic complexity

Details Multidimensional hydrogenic complexity Multidimensional hydrogenic complexity

2009-07-03

arxiv.org/abs/0907.0570v1

Physics

Quantum Physics

12 pages, 0 figures. Published in Mathematical Physics and Field Theory

Scientific paper

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.

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