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Fourier transforms of atomic orbitals. II. Convolution theorems
Author(s) -
Niukkanen A. W.
Publication year - 1984
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560250604
Subject(s) - bessel function , convolution (computer science) , convolution theorem , mathematics , fourier transform , exponential function , pure mathematics , atomic orbital , class (philosophy) , basis (linear algebra) , mathematical analysis , physics , fourier analysis , quantum mechanics , fractional fourier transform , computer science , geometry , machine learning , artificial intelligence , artificial neural network , electron
Analytic expressions have been derived for tensor convolutions of basis functions of exponential class (the reduced Bessel functions, the Slater, and the hydrogen‐like functions). For reduced Bessel functions, in particular, the method suggested in the paper is a more clear and compact alternative to the laborious proof of the important Filter and Steinborn convolution theorem.