Friday, June 28, 2013

1306.6528 (Carlos L. Benavides-Riveros et al.)

Quasi-pinning and entanglement in the lithium isoelectronic series    [PDF]

Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Michael Springborg
The Pauli exclusion principle gives an upper bound of 1 on the natural occupation numbers. Recently there has been an intriguing amount of theoretical evidence that there is a plethora of additional generalized Pauli restrictions or (in)equalities, of kinematic nature, satisfied by these numbers. Here for the first time a numerical analysis of the nature of such constraints is effected in real atoms. The inequalities are nearly saturated, or quasi-pinned. For rank-six and rank-seven approximations for lithium, the deviation from saturation is smaller than the lowest occupancy number. For a rank-eight approximation we find well-defined families of saturation conditions.
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