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Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials

Nasser Saad·Richard L. Hall
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Abstract

We show that many integrals containing products of confluent hypergeometric functions follow directly from one single integral that has a very simple formula in terms of Appell's double series F_2. We present some techniques for computing such series. Applications requiring the matrix elements of singular potentials and the perturbed Kratzer potential are presented.

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Nasser Saad, Richard L. Hall. 2003-06-16. Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials. https://doi.org/10.1088/0305-4470%2F36%2F28%2F307

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