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Uncertainty inequalities among frequency moments and radial expectation values: Applications to atomic systems
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10.1063/1.4705275
/content/aip/journal/jmp/53/4/10.1063/1.4705275
http://aip.metastore.ingenta.com/content/aip/journal/jmp/53/4/10.1063/1.4705275
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Upper bounds on the disequilibrium D(ρ) in position space (neutral atoms with nuclear charge Z = 1–103), in terms of (a) one, and (b) two radial expectation values in momentum space. Atomic units are used.

Image of FIG. 2.
FIG. 2.

Upper bounds on the disequilibrium D(γ) in momentum space (neutral atoms with nuclear charge Z = 1–103), in terms of (a) one, and (b) two radial expectation values in position space. Atomic units are used.

Image of FIG. 3.
FIG. 3.

Upper bounds on the Thomas-Fermi kinetic energy T 0 (neutral atoms with nuclear charge Z = 1–103), in terms of (a) one, and (b) two radial expectation values in momentum space. Atomic units are used.

Image of FIG. 4.
FIG. 4.

Upper bounds on the Dirac exchange energy K 0 (neutral atoms with nuclear charge Z = 1–103), in terms of one and two radial expectation values in momentum space. Atomic units are used.

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/content/aip/journal/jmp/53/4/10.1063/1.4705275
2012-04-26
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Uncertainty inequalities among frequency moments and radial expectation values: Applications to atomic systems
http://aip.metastore.ingenta.com/content/aip/journal/jmp/53/4/10.1063/1.4705275
10.1063/1.4705275
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