The Plane Wave Expansion, Infinite Integrals and Identities involving Spherical Bessel Functions

2009/09/02 by R. Mehrem, Rami Mehrem, Mehrem, Rami · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear Physics and Applications #Radiation Detection and Scintillator Technologies #math-ph #math.MP #msc:33C10 #nucl-th

paper · pdf · doi:10.48550/arxiv.0909.0494

Published in the journal of Applied Mathematics and Computation 217 (2011) 5360-5365

arxiv created 2011/08/25 · arxiv updated 2011/08/29

Abstract

This paper shows that the plane wave expansion can be a useful tool in obtaining analytical solutions to infinite integrals over spherical Bessel functions and the derivation of identites for these functions. The integrals are often used in nuclear scattering calculations, where an analytical result can provide an insight into the reaction mechanism. A technique is developed whereby an integral over several special functions which cannot be found in any standard integral table can be broken down into integrals that have existing analytical solutions

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