Improved lower bounds for the atomic charge density at the nucleus
- 14 June 1988
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic, Molecular and Optical Physics
- Vol. 21 (11) , L271-L274
- https://doi.org/10.1088/0953-4075/21/11/001
Abstract
Lower bounds F( alpha , beta ) to the electronic charge density of atomic systems with N electrons at the nucleus, rho (0), are given by means of any two radial expectation values (ralpha ) and (rbeta ), for real alpha not= beta , in a rigorous and simple way. In particular, rho (0)>or=(N/8 pi )(r-2)2/(r-1) which improves bounds found previously. An interesting property of these bounds is that they are equal to the exact value rho (0) in the limit beta to -3 for any fixed alpha value.Keywords
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