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Lower bound problems and bounds to atomic ionization energies

โœ Scribed by M. G. Marmorino; J. C. Schug; C. A. Beattie

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
151 KB
Volume
77
Category
Article
ISSN
0020-7608

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โœฆ Synopsis

A simple extension of a method by Calogero and Marchioro for constructing lower bound problems for ground states of systems of indistinguishable particles is applied to atomic systems. Their method is extended to yield an improved lower bound problem, which raises the ground-state estimate and yields nontrivial lower bounds to excited states that were previously inaccessible by their method. Rigorous upper bounds to atomic ionization energies are also derived.

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