LSFBTR: A subroutine for calculating spherical bessel transforms. Nature of problem: Transforming an angular momentum wave function from coordinate to momentum representation requires the calculation of Hankel transforms for spherical Bessel functions. This subroutine calculates such integrals when the function to be transformed is given numerically at r values that are distributed uniformly in the variable ln(r). The resulting values of the transform are given at k values distributed uniformly in the variable ln(k). Solution method: The transform can be carried out as two successive Fourier transforms that are calculated numerically using the trapezoidal rule. For meshes with a large number of points these can be calculated very efficiently using the fast Fourier transform method.
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References in zbMATH (referenced in 7 articles )
Showing results 1 to 7 of 7.
- Ikeno, Hidekazu: Spherical Bessel transform via exponential sum approximation of spherical Bessel function (2018)
- March, N. H.; Krishtal, A.; Van Alsenoy, C.; Talman, J. D.: Exchange energy density definitions from the optimized exchange-force, exemplified for non-relativistic Ne- and Ar-like atomic ions in the limit of large nuclear charge (2011)
- Talman, J. D.: NumSBT: a subroutine for calculating spherical Bessel transforms numerically (2009)
- Wieder, Thomas: Algorithm 794: Numerical Hankel transform by the Fortran program HANKEL (1999)
- Sharafeddin, Omar A.; Bowen, H. Ferrel; Kouri, Donald J.; Hoffman, David K.: Numerical evaluation of spherical Bessel transforms via fast Fourier transforms (1992)
- Puoskari, M.: A method for computing Bessel function integrals (1988)
- Weniger, E. Joachim: Weakly convergent expansions of a plane wave and their use in Fourier integrals (1985)