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The Fourier transforms of some exponentialhyphen;type basis functions and their relevance to multicenter problems
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机译：The Fourier transforms of some exponentialhyphen;type basis functions and their relevance to multicenter problems
We analyze the properties of Slaterhyphen;type functions (STFs) andBfunctions with respect to the Fourier transformation which is one of the most important methods for the evaluation of multicenter integrals. AlthoughBfunctions have a much more complicated structure than STFs, their Fourier transform is probably the simplest of all expontentialhyphen;type basis functions. Accordingly, in multicenter integrals,Bfunctions seem to have much more attractive properties than STFs. We demonstrate this by analyzing shifting operators which make it possible to increase quantum numbers of the orbitals. Again we find that the shifting operators ofBfunctions can be applied much more easily and yield much more compact results than the corresponding operators for STFs. We also show that the extremely compact convolution and Coulomb integrals ofBfunctions are direct consequences of the simple Fourier transform ofBfunctions.
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