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Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials

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arxiv math-ph/0306043 v1 pith:XJ3TLJXW submitted 2003-06-16 math-ph math.MP

Nasser Saad , Richard L. Hall This is my paper · ORCID
classification math-phmath.MP
keywords applicationsconfluentcontainingfunctionshypergeometricintegralsperturbedpotentials
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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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  1. Landau levels in a gravitational field: The Schwarzschild spacetime case

    gr-qc 2019-09 conditional novelty 5.0 of 10

    In Schwarzschild spacetime, a weak gravitational field splits Landau levels by an amount proportional to GMm times the square root of the magnetic field, with explicit Yukawa, power-law, and relativistic corrections derived.

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