Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials

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.

20 pages

References in corpus (2)

• Generalized spiked harmonic oscillator
• Closed-form sums for some perturbation series involving hypergeometric functions

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