Abstract
Perhaps the most common problem faced in collision theory is the evaluation of cross sections in the scattering from a symmetric radial potential V(r), and the most common approach is to to expand the potentials in multipoles and the wave function in partial waves. One is then faced with the problem of evaluating integrals over highly oscillatory integrands when these integrals are required to high accuracy, since such is the character of the expansion that situations where cancellations can occur between near equal terms are common. These problems are particularly acute for integrals involving large values of the angular momentum.
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Rasch, J., Whelan, C.T. (1999). Partial Wave Integrals. In: Allan, R.J., Guest, M.F., Simpson, A.D., Henty, D.S., Nicole, D.A. (eds) High-Performance Computing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4873-7_32
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DOI: https://doi.org/10.1007/978-1-4615-4873-7_32
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