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One-electron, two-center integrals (and the corresponding one-center case) are evaluated for integrals of the type ∫ [N,L,M]arbN′PL′|M′|(cosθb)rbL′+1{cos|M′|φbsin|M′|φb}dτarising in electromagnetic interactions. The Fourier convolution theorem method is employed and specific results are obtained for N′=0 and N′=2 in terms of an F function and recursion formulas. All cases up to L′=3 are evaluated in terms of the F functions and in terms of elementary functions.
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Murray Geller (1963) studied this question.
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