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Variational study of a new approximation for the kinetic energy functional

✍ Scribed by M.D. Glossman


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
387 KB
Volume
188
Category
Article
ISSN
0009-2614

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✦ Synopsis


The new kinetic energy functional recently proposed by Plindov and Pogrebnya is analyzed by calculating total atomic energies for the corresponding model using the one-third power of a density constructed from a summation of decaying exponentials. As the number of terms in the summation increases, the corresponding energies tend to the results obtained by exactly solving the Euler equation for this method. Enforcing the model density to satisfy the cusp condition, the corresponding energies are much better and comparable to their Hartree-Fock counterparts. The effect of this improved density distribution on the electron densities at the site of the nucleus is analyzed.


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## Abstract A new approximate formulation of the Koutecky function is proposed, with two new equations; one for the approximate calculation of the Koutecky function __F__(__Ο‡__) in terms of its argument __Ο‡__ and the inverse __Ο‡__=__f__ [__F__(__Ο‡__)]. Both use only two adjustable parameters, subst