The Fourier transform of a two-center product of exponential-type functions and its efficient evaluation
type: Item
instance of: scholarly article
title: The Fourier transform of a two-center product of exponential-type functions and its efficient evaluation
zbMATH Open document ID: 0583.65096
DOI: 10.1016/0021-9991(85)90082-8
author: Johannes Grotendorst
author: E. Otto Steinborn
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: This paper contains a new and simpler derivation of Trivedi and Steinborn's formula for the Fourier transform of a two-center product of a special class of exponential type functions. For this purpose, the authors use a differentiation technique which is able to generate multi- center integrals over nonscalar functions from integrals over scalar functions. Furthermore, the authors present an efficient procedure to compute a new formula, which is valid for arbitrary quantum numbers and exponential parameters and report various numerical test values.
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 3934381
zbMATH Keywords: Feynman's identity
zbMATH Keywords: quantum numbers
zbMATH Keywords: Fourier transform
zbMATH Keywords: two-center product
zbMATH Keywords: exponential type functions
reviewed by: R. S. Dahiya
describes a project that uses: QUADPACK
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90082-8
OpenAlex ID: W1974727385
Wikidata QID: Q56018832
cites work: Space-Time Approach to Quantum Electrodynamics
cites work: Two-center calculation for X-ray scattering
cites work: Q5508799
cites work: A matrix representation of the translation operator with respect to a basis set of exponentially declining functions
cites work: The three-dimensional convolution of reduced Bessel functions and other functions of physical interest
cites work: Q5760128
cites work: Q3286218
cites work: Q5518575
cites work: Q5647412
cites work: Q3929699
cites work: A NOTE ON GEGENBAUER POLYNOMIALS
cites work: Computation of oscillating integrals
cites work: Numerical calculation of fourier integrals with cubic splines
cites work: A Modification of Filon's Method of Numerical Integration
cites work: Q4746719
cites work: Q5533728
cites work: On a Device for Computing the e m (S n ) Transformation
cites work: Q4103811
description: scientific article; zbMATH DE number 3934381