Tree-particle integrals with spherical Bessel and Neumann functions

2014/03/31 by Alexei M. Frolov, Frolov, Alexei M., David M. Wardlaw +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #advanced mathematical theories #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1403.7848

This paper has been withdrawn by the author, since the new and more effective approach has been developed

openalex publication_date 2014/03/31 · arxiv created 2015/02/18 · arxiv updated 2015/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A few approaches are derived to calculate three-particle integrals which include spherical Bessel functions of the first and second kind, i.e., the j_ℓ(V r) and n_ℓ(V r) functions. Such integrals are important in applications to various problems known in atomic and nuclear physics. In particular, these integrals are needed in accurate computations of the photodetachment cross-section(s) of the negatively charged hydrogen ions.

Related

• The Integral Over 2 Spherical Bessel Functions Multiplied by a Gaussian
• Spherical Bessel functions
• New integrals in few-body problems
• The Plane Wave Expansion, Infinite Integrals and Identities involving Spherical Bessel Functions
• Three-dimensional Fourier transforms, integrals of spherical Bessel functions, and novel delta function identities