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Completeness and linear independence of basis sets used in quantum chemistry

✍ Scribed by Bruno Klahn; Werner A. Bingel

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
690 KB
Volume
11
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

Infinite sets of functions in Hilbert space are characterized by their completeness properties and the extent of linear independence. Different measures of linear independence such as orthonormality, Gram's determinant, the special measure of linear independence, and the asymptotic dimension are related to each other and with the degrees of completeness such as overcompleteness, exact completeness, and incompleteness as far as possible.

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