Abstract

A method for the calculation of spherical Bessel transforms is presented which requires the evaluation of two numerical integrals, one of which is a fast Fourier (sine) transform, without the explicit use of the Bessel functions. With emphasis on transforms of relatively high order, the procedure is shown to have a practical and accurate application in the calculation of radial momentum-space wave functions from the corresponding position-space functions. Examples used are high angular momentum states of the hydrogen atom and rovibrational states of the diatomic molecule RbCs.

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