Publication: NumSBT: A subroutine for calculating spherical Bessel transfoms numerically

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Title	NumSBT: A subroutine for calculating spherical Bessel transfoms numerically
Authors/Editors*	James D. Talman
Where published*	Computer Physics Communications
How published*	Journal
Year*	2009
Volume	180
Number
Pages	332-338
Publisher	Elsevier
Keywords	Fourier transforms, spherical Bessel transforms, Hankel transforms
Link	http://cpc.cs.qub.ac.uk/summaries/AANZ_v2_0.html
Abstract	A previous subroutine, LSFBTR, for computing numerical spherical Bessel (Hankel) transforms is updated with several improvements and modiï¬cations. The procedure is applicable if the input radial function and the output transform are deï¬ned on logarithmic meshes and if the input function satisï¬es reasonable smoothness conditions. Important aspects of the procedure are that it is simply implemented with two successive applications of the fast Fourier transform, and it yields accurate results at very large values of the transform variable. Applications to the evaluation of overlap integrals and the Coulomb potential of PACS: multipolar charge distributions are described. 02.60.Gf 02.60.Jh