Optimal Fourier filtering of a function that is strictly confined within a sphere

Details Optimal Fourier filtering of a function that is strictly confined within a sphere Optimal Fourier filtering of a function that is strictly confined within a sphere

2008-07-31

arxiv.org/abs/0807.5030v1

Physics

Condensed Matter

Materials Science

3 pages, 2 figures

Scientific paper

We present an alternative method to filter a distribution, that is strictly confined within a sphere of given radius $r_c$, so that its Fourier transform is optimally confined within another sphere of radius $k_c$. In electronic structure methods, it can be used to generate optimized pseudopotentials, pseudocore charge distributions, and pseudo atomic orbital basis sets.

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