On the long-range and short-range behavior of potentials from reproducing kernel Hilbert space interpolation

Soldán, P.; Hutson, J.M.

doi:10.1063/1.480988

On the long-range and short-range behavior of potentials from reproducing kernel Hilbert space interpolation Thumbnail

Authors

P. Soldán

Professor Jeremy Hutson j.m.hutson@durham.ac.uk
Professor

Abstract

The short-range and long-range asymptotic behavior of potential functions obtained from the reciprocal power reproducing kernel Hilbert spaceinterpolation procedure [Ho and Rabitz, J. Chem. Phys. 104, 2584 (1996)] is analyzed. In the short-range region, the potential functions are polynomial in form: the method should not be used for extrapolation in this region. General formulae for the short-range and long-range expansion coefficients are presented. Potentials for He-Ar+ are discussed as examples.

Citation

Soldán, P., & Hutson, J. (2000). On the long-range and short-range behavior of potentials from reproducing kernel Hilbert space interpolation. The Journal of Chemical Physics, 112(9), 4415-4416. https://doi.org/10.1063/1.480988

Journal Article Type	Article
Publication Date	Mar 1, 2000
Deposit Date	Jun 24, 2013
Publicly Available Date	Aug 19, 2015
Journal	Journal of Chemical Physics
Print ISSN	0021-9606
Electronic ISSN	1089-7690
Publisher	American Institute of Physics
Peer Reviewed	Peer Reviewed
Volume	112
Issue	9
Pages	4415-4416
DOI	https://doi.org/10.1063/1.480988

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Copyright Statement
© 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in The Journal of Chemical Physics 112, 4415 (2000) and may be found at http://dx.doi.org/10.1063/1.480988